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Finding the Fourth Proportional to 10,002.57, 15,003.84 and 2,982.40

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Solution

The fourth proportional to 10,002.57, 15,003.84 and 2,982.40 is: 4,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.57 : 15,003.84 = 2,982.40 : x
  2. Step 2: Convert to fraction form
    10,002.57/15,003.84 = 2,982.40/x
  3. Step 3: Cross multiply
    10,002.57x = 15,003.84 × 2,982.40
  4. Step 4: Simplify right side
    10,002.57x = 44,747,452.42
  5. Step 5: Solve for x
    x = 44,747,452.42/10,002.57
  6. Step 6: Final answer
    x = 4,473.60

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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.