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Finding the Fourth Proportional to 10,312.70, 15,472.14 and 4,073.60

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Solution

The fourth proportional to 10,312.70, 15,472.14 and 4,073.60 is: 6,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.70 : 15,472.14 = 4,073.60 : x
  2. Step 2: Convert to fraction form
    10,312.70/15,472.14 = 4,073.60/x
  3. Step 3: Cross multiply
    10,312.70x = 15,472.14 × 4,073.60
  4. Step 4: Simplify right side
    10,312.70x = 63,027,309.50
  5. Step 5: Solve for x
    x = 63,027,309.50/10,312.70
  6. Step 6: Final answer
    x = 6,111.62

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