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Finding the Fourth Proportional to 8,477.26, 11,691.22 and 6,357.55

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Solution

The fourth proportional to 8,477.26, 11,691.22 and 6,357.55 is: 8,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.26 : 11,691.22 = 6,357.55 : x
  2. Step 2: Convert to fraction form
    8,477.26/11,691.22 = 6,357.55/x
  3. Step 3: Cross multiply
    8,477.26x = 11,691.22 × 6,357.55
  4. Step 4: Simplify right side
    8,477.26x = 74,327,515.71
  5. Step 5: Solve for x
    x = 74,327,515.71/8,477.26
  6. Step 6: Final answer
    x = 8,767.87

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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.