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Finding the Fourth Proportional to 10,518.97, 15,778.33 and 6,083.31

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Solution

The fourth proportional to 10,518.97, 15,778.33 and 6,083.31 is: 9,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.97 : 15,778.33 = 6,083.31 : x
  2. Step 2: Convert to fraction form
    10,518.97/15,778.33 = 6,083.31/x
  3. Step 3: Cross multiply
    10,518.97x = 15,778.33 × 6,083.31
  4. Step 4: Simplify right side
    10,518.97x = 95,984,472.67
  5. Step 5: Solve for x
    x = 95,984,472.67/10,518.97
  6. Step 6: Final answer
    x = 9,124.89

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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.