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Finding the Fourth Proportional to 8,597.71, 11,861.49 and 6,364.93

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Solution

The fourth proportional to 8,597.71, 11,861.49 and 6,364.93 is: 8,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.71 : 11,861.49 = 6,364.93 : x
  2. Step 2: Convert to fraction form
    8,597.71/11,861.49 = 6,364.93/x
  3. Step 3: Cross multiply
    8,597.71x = 11,861.49 × 6,364.93
  4. Step 4: Simplify right side
    8,597.71x = 75,497,553.55
  5. Step 5: Solve for x
    x = 75,497,553.55/8,597.71
  6. Step 6: Final answer
    x = 8,781.12

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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.