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Finding the Fourth Proportional to 10,020.38, 15,034.02 and 4,477.54

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Solution

The fourth proportional to 10,020.38, 15,034.02 and 4,477.54 is: 6,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.38 : 15,034.02 = 4,477.54 : x
  2. Step 2: Convert to fraction form
    10,020.38/15,034.02 = 4,477.54/x
  3. Step 3: Cross multiply
    10,020.38x = 15,034.02 × 4,477.54
  4. Step 4: Simplify right side
    10,020.38x = 67,315,425.91
  5. Step 5: Solve for x
    x = 67,315,425.91/10,020.38
  6. Step 6: Final answer
    x = 6,717.85

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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.