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Finding the Fourth Proportional to 10,304.62, 14,221.24 and 5,829.17

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Solution

The fourth proportional to 10,304.62, 14,221.24 and 5,829.17 is: 8,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.62 : 14,221.24 = 5,829.17 : x
  2. Step 2: Convert to fraction form
    10,304.62/14,221.24 = 5,829.17/x
  3. Step 3: Cross multiply
    10,304.62x = 14,221.24 × 5,829.17
  4. Step 4: Simplify right side
    10,304.62x = 82,897,939.89
  5. Step 5: Solve for x
    x = 82,897,939.89/10,304.62
  6. Step 6: Final answer
    x = 8,044.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.