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Finding the Fourth Proportional to 10,028.71, 15,034.13 and 4,760.47

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Solution

The fourth proportional to 10,028.71, 15,034.13 and 4,760.47 is: 7,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.71 : 15,034.13 = 4,760.47 : x
  2. Step 2: Convert to fraction form
    10,028.71/15,034.13 = 4,760.47/x
  3. Step 3: Cross multiply
    10,028.71x = 15,034.13 × 4,760.47
  4. Step 4: Simplify right side
    10,028.71x = 71,569,479.89
  5. Step 5: Solve for x
    x = 71,569,479.89/10,028.71
  6. Step 6: Final answer
    x = 7,136.46

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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.