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Finding the Fourth Proportional to 10,617.30, 14,649.74 and 6,139.42

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Solution

The fourth proportional to 10,617.30, 14,649.74 and 6,139.42 is: 8,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.30 : 14,649.74 = 6,139.42 : x
  2. Step 2: Convert to fraction form
    10,617.30/14,649.74 = 6,139.42/x
  3. Step 3: Cross multiply
    10,617.30x = 14,649.74 × 6,139.42
  4. Step 4: Simplify right side
    10,617.30x = 89,940,906.75
  5. Step 5: Solve for x
    x = 89,940,906.75/10,617.30
  6. Step 6: Final answer
    x = 8,471.17

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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.