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Finding the Fourth Proportional to 7,465.92, 11,189.16 and 5,726.04

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Solution

The fourth proportional to 7,465.92, 11,189.16 and 5,726.04 is: 8,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.92 : 11,189.16 = 5,726.04 : x
  2. Step 2: Convert to fraction form
    7,465.92/11,189.16 = 5,726.04/x
  3. Step 3: Cross multiply
    7,465.92x = 11,189.16 × 5,726.04
  4. Step 4: Simplify right side
    7,465.92x = 64,069,577.73
  5. Step 5: Solve for x
    x = 64,069,577.73/7,465.92
  6. Step 6: Final answer
    x = 8,581.61

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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.