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Finding the Fourth Proportional to 7,838,644.50, 11,756,826.24 and 2,446,040.34

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Solution

The fourth proportional to 7,838,644.50, 11,756,826.24 and 2,446,040.34 is: 3,668,704.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838,644.50 : 11,756,826.24 = 2,446,040.34 : x
  2. Step 2: Convert to fraction form
    7,838,644.50/11,756,826.24 = 2,446,040.34/x
  3. Step 3: Cross multiply
    7,838,644.50x = 11,756,826.24 × 2,446,040.34
  4. Step 4: Simplify right side
    7,838,644.50x = 28,757,671,253,410.52
  5. Step 5: Solve for x
    x = 28,757,671,253,410.52/7,838,644.50
  6. Step 6: Final answer
    x = 3,668,704.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.