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Finding the Fourth Proportional to 8,103.87, 12,141.23 and 7,535.25

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Solution

The fourth proportional to 8,103.87, 12,141.23 and 7,535.25 is: 11,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.87 : 12,141.23 = 7,535.25 : x
  2. Step 2: Convert to fraction form
    8,103.87/12,141.23 = 7,535.25/x
  3. Step 3: Cross multiply
    8,103.87x = 12,141.23 × 7,535.25
  4. Step 4: Simplify right side
    8,103.87x = 91,487,165.68
  5. Step 5: Solve for x
    x = 91,487,165.68/8,103.87
  6. Step 6: Final answer
    x = 11,289.32

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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.