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Finding the Fourth Proportional to 10,107.88, 15,136.50 and 6,398.92

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Solution

The fourth proportional to 10,107.88, 15,136.50 and 6,398.92 is: 9,582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.88 : 15,136.50 = 6,398.92 : x
  2. Step 2: Convert to fraction form
    10,107.88/15,136.50 = 6,398.92/x
  3. Step 3: Cross multiply
    10,107.88x = 15,136.50 × 6,398.92
  4. Step 4: Simplify right side
    10,107.88x = 96,857,252.58
  5. Step 5: Solve for x
    x = 96,857,252.58/10,107.88
  6. Step 6: Final answer
    x = 9,582.35

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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.