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Finding the Fourth Proportional to 11,755.60, 17,638.20 and 6,565.04

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Solution

The fourth proportional to 11,755.60, 17,638.20 and 6,565.04 is: 9,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.60 : 17,638.20 = 6,565.04 : x
  2. Step 2: Convert to fraction form
    11,755.60/17,638.20 = 6,565.04/x
  3. Step 3: Cross multiply
    11,755.60x = 17,638.20 × 6,565.04
  4. Step 4: Simplify right side
    11,755.60x = 115,795,488.53
  5. Step 5: Solve for x
    x = 115,795,488.53/11,755.60
  6. Step 6: Final answer
    x = 9,850.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.