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Finding the Fourth Proportional to 10,616.27, 15,922.65 and 3,596.16

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Solution

The fourth proportional to 10,616.27, 15,922.65 and 3,596.16 is: 5,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.27 : 15,922.65 = 3,596.16 : x
  2. Step 2: Convert to fraction form
    10,616.27/15,922.65 = 3,596.16/x
  3. Step 3: Cross multiply
    10,616.27x = 15,922.65 × 3,596.16
  4. Step 4: Simplify right side
    10,616.27x = 57,260,397.02
  5. Step 5: Solve for x
    x = 57,260,397.02/10,616.27
  6. Step 6: Final answer
    x = 5,393.65

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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.