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Finding the Fourth Proportional to 10,234.52, 14,124.89 and 5,758.46

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Solution

The fourth proportional to 10,234.52, 14,124.89 and 5,758.46 is: 7,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.52 : 14,124.89 = 5,758.46 : x
  2. Step 2: Convert to fraction form
    10,234.52/14,124.89 = 5,758.46/x
  3. Step 3: Cross multiply
    10,234.52x = 14,124.89 × 5,758.46
  4. Step 4: Simplify right side
    10,234.52x = 81,337,614.07
  5. Step 5: Solve for x
    x = 81,337,614.07/10,234.52
  6. Step 6: Final answer
    x = 7,947.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.