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Finding the Fourth Proportional to 11,562.92, 17,340.12 and 4,165.40

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Solution

The fourth proportional to 11,562.92, 17,340.12 and 4,165.40 is: 6,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.92 : 17,340.12 = 4,165.40 : x
  2. Step 2: Convert to fraction form
    11,562.92/17,340.12 = 4,165.40/x
  3. Step 3: Cross multiply
    11,562.92x = 17,340.12 × 4,165.40
  4. Step 4: Simplify right side
    11,562.92x = 72,228,449.15
  5. Step 5: Solve for x
    x = 72,228,449.15/11,562.92
  6. Step 6: Final answer
    x = 6,246.56

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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.