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Finding the Fourth Proportional to 10,634.31, 14,660.24 and 7,649.19

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Solution

The fourth proportional to 10,634.31, 14,660.24 and 7,649.19 is: 10,545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.31 : 14,660.24 = 7,649.19 : x
  2. Step 2: Convert to fraction form
    10,634.31/14,660.24 = 7,649.19/x
  3. Step 3: Cross multiply
    10,634.31x = 14,660.24 × 7,649.19
  4. Step 4: Simplify right side
    10,634.31x = 112,138,922.96
  5. Step 5: Solve for x
    x = 112,138,922.96/10,634.31
  6. Step 6: Final answer
    x = 10,545.01

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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.