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Finding the Fourth Proportional to 8,502.78, 11,704.72 and 7,377.10

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Solution

The fourth proportional to 8,502.78, 11,704.72 and 7,377.10 is: 10,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.78 : 11,704.72 = 7,377.10 : x
  2. Step 2: Convert to fraction form
    8,502.78/11,704.72 = 7,377.10/x
  3. Step 3: Cross multiply
    8,502.78x = 11,704.72 × 7,377.10
  4. Step 4: Simplify right side
    8,502.78x = 86,346,889.91
  5. Step 5: Solve for x
    x = 86,346,889.91/8,502.78
  6. Step 6: Final answer
    x = 10,155.14

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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.