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Finding the Fourth Proportional to 8,761.64, 13,142.46 and 3,564.04

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Solution

The fourth proportional to 8,761.64, 13,142.46 and 3,564.04 is: 5,346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.64 : 13,142.46 = 3,564.04 : x
  2. Step 2: Convert to fraction form
    8,761.64/13,142.46 = 3,564.04/x
  3. Step 3: Cross multiply
    8,761.64x = 13,142.46 × 3,564.04
  4. Step 4: Simplify right side
    8,761.64x = 46,840,253.14
  5. Step 5: Solve for x
    x = 46,840,253.14/8,761.64
  6. Step 6: Final answer
    x = 5,346.06

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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.