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Finding the Fourth Proportional to 10,488.34, 15,732.85 and 3,092.18

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Solution

The fourth proportional to 10,488.34, 15,732.85 and 3,092.18 is: 4,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.34 : 15,732.85 = 3,092.18 : x
  2. Step 2: Convert to fraction form
    10,488.34/15,732.85 = 3,092.18/x
  3. Step 3: Cross multiply
    10,488.34x = 15,732.85 × 3,092.18
  4. Step 4: Simplify right side
    10,488.34x = 48,648,764.78
  5. Step 5: Solve for x
    x = 48,648,764.78/10,488.34
  6. Step 6: Final answer
    x = 4,638.37

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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.