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Finding the Fourth Proportional to 8,646.64, 11,906.20 and 7,246.96

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Solution

The fourth proportional to 8,646.64, 11,906.20 and 7,246.96 is: 9,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.64 : 11,906.20 = 7,246.96 : x
  2. Step 2: Convert to fraction form
    8,646.64/11,906.20 = 7,246.96/x
  3. Step 3: Cross multiply
    8,646.64x = 11,906.20 × 7,246.96
  4. Step 4: Simplify right side
    8,646.64x = 86,283,755.15
  5. Step 5: Solve for x
    x = 86,283,755.15/8,646.64
  6. Step 6: Final answer
    x = 9,978.88

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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.