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Finding the Fourth Proportional to 8,253.64, 12,375.42 and 5,660.20

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Solution

The fourth proportional to 8,253.64, 12,375.42 and 5,660.20 is: 8,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.64 : 12,375.42 = 5,660.20 : x
  2. Step 2: Convert to fraction form
    8,253.64/12,375.42 = 5,660.20/x
  3. Step 3: Cross multiply
    8,253.64x = 12,375.42 × 5,660.20
  4. Step 4: Simplify right side
    8,253.64x = 70,047,352.28
  5. Step 5: Solve for x
    x = 70,047,352.28/8,253.64
  6. Step 6: Final answer
    x = 8,486.84

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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.