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Finding the Fourth Proportional to 10,649.51, 15,974.28 and 10,634.13

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Solution

The fourth proportional to 10,649.51, 15,974.28 and 10,634.13 is: 15,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.51 : 15,974.28 = 10,634.13 : x
  2. Step 2: Convert to fraction form
    10,649.51/15,974.28 = 10,634.13/x
  3. Step 3: Cross multiply
    10,649.51x = 15,974.28 × 10,634.13
  4. Step 4: Simplify right side
    10,649.51x = 169,872,570.18
  5. Step 5: Solve for x
    x = 169,872,570.18/10,649.51
  6. Step 6: Final answer
    x = 15,951.21

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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.