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Finding the Fourth Proportional to 10,616.28, 15,920.72 and 5,349.25

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Solution

The fourth proportional to 10,616.28, 15,920.72 and 5,349.25 is: 8,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.28 : 15,920.72 = 5,349.25 : x
  2. Step 2: Convert to fraction form
    10,616.28/15,920.72 = 5,349.25/x
  3. Step 3: Cross multiply
    10,616.28x = 15,920.72 × 5,349.25
  4. Step 4: Simplify right side
    10,616.28x = 85,163,911.46
  5. Step 5: Solve for x
    x = 85,163,911.46/10,616.28
  6. Step 6: Final answer
    x = 8,022.01

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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.