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Finding the Fourth Proportional to 11,707.32, 17,560.96 and 5,465.24

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Solution

The fourth proportional to 11,707.32, 17,560.96 and 5,465.24 is: 8,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.32 : 17,560.96 = 5,465.24 : x
  2. Step 2: Convert to fraction form
    11,707.32/17,560.96 = 5,465.24/x
  3. Step 3: Cross multiply
    11,707.32x = 17,560.96 × 5,465.24
  4. Step 4: Simplify right side
    11,707.32x = 95,974,861.03
  5. Step 5: Solve for x
    x = 95,974,861.03/11,707.32
  6. Step 6: Final answer
    x = 8,197.85

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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.