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Finding the Fourth Proportional to 10,149.49, 15,227.07 and 3,129.63

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Solution

The fourth proportional to 10,149.49, 15,227.07 and 3,129.63 is: 4,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.49 : 15,227.07 = 3,129.63 : x
  2. Step 2: Convert to fraction form
    10,149.49/15,227.07 = 3,129.63/x
  3. Step 3: Cross multiply
    10,149.49x = 15,227.07 × 3,129.63
  4. Step 4: Simplify right side
    10,149.49x = 47,655,095.08
  5. Step 5: Solve for x
    x = 47,655,095.08/10,149.49
  6. Step 6: Final answer
    x = 4,695.32

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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.