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Finding the Fourth Proportional to 11,815.72, 16,306.07 and 6,780.86

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Solution

The fourth proportional to 11,815.72, 16,306.07 and 6,780.86 is: 9,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.72 : 16,306.07 = 6,780.86 : x
  2. Step 2: Convert to fraction form
    11,815.72/16,306.07 = 6,780.86/x
  3. Step 3: Cross multiply
    11,815.72x = 16,306.07 × 6,780.86
  4. Step 4: Simplify right side
    11,815.72x = 110,569,123.53
  5. Step 5: Solve for x
    x = 110,569,123.53/11,815.72
  6. Step 6: Final answer
    x = 9,357.80

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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.