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Finding the Fourth Proportional to 8,657.28, 12,897.36 and 8,239.32

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Solution

The fourth proportional to 8,657.28, 12,897.36 and 8,239.32 is: 12,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.28 : 12,897.36 = 8,239.32 : x
  2. Step 2: Convert to fraction form
    8,657.28/12,897.36 = 8,239.32/x
  3. Step 3: Cross multiply
    8,657.28x = 12,897.36 × 8,239.32
  4. Step 4: Simplify right side
    8,657.28x = 106,265,476.20
  5. Step 5: Solve for x
    x = 106,265,476.20/8,657.28
  6. Step 6: Final answer
    x = 12,274.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.