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Finding the Fourth Proportional to 8,268.90, 11,397.96 and 6,497.46

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Solution

The fourth proportional to 8,268.90, 11,397.96 and 6,497.46 is: 8,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.90 : 11,397.96 = 6,497.46 : x
  2. Step 2: Convert to fraction form
    8,268.90/11,397.96 = 6,497.46/x
  3. Step 3: Cross multiply
    8,268.90x = 11,397.96 × 6,497.46
  4. Step 4: Simplify right side
    8,268.90x = 74,057,789.18
  5. Step 5: Solve for x
    x = 74,057,789.18/8,268.90
  6. Step 6: Final answer
    x = 8,956.18

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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.