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Finding the Fourth Proportional to 8,157, 11,263.14 and 6,397.68

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Solution

The fourth proportional to 8,157, 11,263.14 and 6,397.68 is: 8,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157 : 11,263.14 = 6,397.68 : x
  2. Step 2: Convert to fraction form
    8,157/11,263.14 = 6,397.68/x
  3. Step 3: Cross multiply
    8,157x = 11,263.14 × 6,397.68
  4. Step 4: Simplify right side
    8,157x = 72,057,965.52
  5. Step 5: Solve for x
    x = 72,057,965.52/8,157
  6. Step 6: Final answer
    x = 8,833.88

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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.