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Finding the Fourth Proportional to 11,438.74, 15,792.60 and 8,780.86

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Solution

The fourth proportional to 11,438.74, 15,792.60 and 8,780.86 is: 12,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.74 : 15,792.60 = 8,780.86 : x
  2. Step 2: Convert to fraction form
    11,438.74/15,792.60 = 8,780.86/x
  3. Step 3: Cross multiply
    11,438.74x = 15,792.60 × 8,780.86
  4. Step 4: Simplify right side
    11,438.74x = 138,672,609.64
  5. Step 5: Solve for x
    x = 138,672,609.64/11,438.74
  6. Step 6: Final answer
    x = 12,123.07

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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.