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Finding the Fourth Proportional to 10,030.26, 15,044.94 and 4,761.42

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Solution

The fourth proportional to 10,030.26, 15,044.94 and 4,761.42 is: 7,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.26 : 15,044.94 = 4,761.42 : x
  2. Step 2: Convert to fraction form
    10,030.26/15,044.94 = 4,761.42/x
  3. Step 3: Cross multiply
    10,030.26x = 15,044.94 × 4,761.42
  4. Step 4: Simplify right side
    10,030.26x = 71,635,278.21
  5. Step 5: Solve for x
    x = 71,635,278.21/10,030.26
  6. Step 6: Final answer
    x = 7,141.92

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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.