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Finding the Fourth Proportional to 10,616.28, 14,649.49 and 6,139.92

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Solution

The fourth proportional to 10,616.28, 14,649.49 and 6,139.92 is: 8,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.28 : 14,649.49 = 6,139.92 : x
  2. Step 2: Convert to fraction form
    10,616.28/14,649.49 = 6,139.92/x
  3. Step 3: Cross multiply
    10,616.28x = 14,649.49 × 6,139.92
  4. Step 4: Simplify right side
    10,616.28x = 89,946,696.64
  5. Step 5: Solve for x
    x = 89,946,696.64/10,616.28
  6. Step 6: Final answer
    x = 8,472.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.