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Finding the Fourth Proportional to 8,538.59, 11,775.57 and 5,352.20

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Solution

The fourth proportional to 8,538.59, 11,775.57 and 5,352.20 is: 7,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.59 : 11,775.57 = 5,352.20 : x
  2. Step 2: Convert to fraction form
    8,538.59/11,775.57 = 5,352.20/x
  3. Step 3: Cross multiply
    8,538.59x = 11,775.57 × 5,352.20
  4. Step 4: Simplify right side
    8,538.59x = 63,025,205.75
  5. Step 5: Solve for x
    x = 63,025,205.75/8,538.59
  6. Step 6: Final answer
    x = 7,381.22

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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.