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Finding the Fourth Proportional to 10,930.90, 16,398.15 and 3,537.22

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Solution

The fourth proportional to 10,930.90, 16,398.15 and 3,537.22 is: 5,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.90 : 16,398.15 = 3,537.22 : x
  2. Step 2: Convert to fraction form
    10,930.90/16,398.15 = 3,537.22/x
  3. Step 3: Cross multiply
    10,930.90x = 16,398.15 × 3,537.22
  4. Step 4: Simplify right side
    10,930.90x = 58,003,864.14
  5. Step 5: Solve for x
    x = 58,003,864.14/10,930.90
  6. Step 6: Final answer
    x = 5,306.41

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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.