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Finding the Fourth Proportional to 11,616.87, 17,432.16 and 4,597.56

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Solution

The fourth proportional to 11,616.87, 17,432.16 and 4,597.56 is: 6,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.87 : 17,432.16 = 4,597.56 : x
  2. Step 2: Convert to fraction form
    11,616.87/17,432.16 = 4,597.56/x
  3. Step 3: Cross multiply
    11,616.87x = 17,432.16 × 4,597.56
  4. Step 4: Simplify right side
    11,616.87x = 80,145,401.53
  5. Step 5: Solve for x
    x = 80,145,401.53/11,616.87
  6. Step 6: Final answer
    x = 6,899.05

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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.