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Finding the Fourth Proportional to 10,044.25, 15,066.61 and 2,649.46

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Solution

The fourth proportional to 10,044.25, 15,066.61 and 2,649.46 is: 3,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044.25 : 15,066.61 = 2,649.46 : x
  2. Step 2: Convert to fraction form
    10,044.25/15,066.61 = 2,649.46/x
  3. Step 3: Cross multiply
    10,044.25x = 15,066.61 × 2,649.46
  4. Step 4: Simplify right side
    10,044.25x = 39,918,364.49
  5. Step 5: Solve for x
    x = 39,918,364.49/10,044.25
  6. Step 6: Final answer
    x = 3,974.25

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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.