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Finding the Fourth Proportional to 10,672.80, 16,003.44 and 4,826.40

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Solution

The fourth proportional to 10,672.80, 16,003.44 and 4,826.40 is: 7,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.80 : 16,003.44 = 4,826.40 : x
  2. Step 2: Convert to fraction form
    10,672.80/16,003.44 = 4,826.40/x
  3. Step 3: Cross multiply
    10,672.80x = 16,003.44 × 4,826.40
  4. Step 4: Simplify right side
    10,672.80x = 77,239,002.82
  5. Step 5: Solve for x
    x = 77,239,002.82/10,672.80
  6. Step 6: Final answer
    x = 7,237.00

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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.