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Finding the Fourth Proportional to 11,092.81, 15,306.82 and 6,378.61

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Solution

The fourth proportional to 11,092.81, 15,306.82 and 6,378.61 is: 8,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.81 : 15,306.82 = 6,378.61 : x
  2. Step 2: Convert to fraction form
    11,092.81/15,306.82 = 6,378.61/x
  3. Step 3: Cross multiply
    11,092.81x = 15,306.82 × 6,378.61
  4. Step 4: Simplify right side
    11,092.81x = 97,636,235.12
  5. Step 5: Solve for x
    x = 97,636,235.12/11,092.81
  6. Step 6: Final answer
    x = 8,801.76

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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.