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Finding the Fourth Proportional to 10,023.97, 15,034.11 and 3,004.90

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Solution

The fourth proportional to 10,023.97, 15,034.11 and 3,004.90 is: 4,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.97 : 15,034.11 = 3,004.90 : x
  2. Step 2: Convert to fraction form
    10,023.97/15,034.11 = 3,004.90/x
  3. Step 3: Cross multiply
    10,023.97x = 15,034.11 × 3,004.90
  4. Step 4: Simplify right side
    10,023.97x = 45,175,997.14
  5. Step 5: Solve for x
    x = 45,175,997.14/10,023.97
  6. Step 6: Final answer
    x = 4,506.80

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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.