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Finding the Fourth Proportional to 8,242.07, 12,362.99 and 2,002.13

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Solution

The fourth proportional to 8,242.07, 12,362.99 and 2,002.13 is: 3,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.07 : 12,362.99 = 2,002.13 : x
  2. Step 2: Convert to fraction form
    8,242.07/12,362.99 = 2,002.13/x
  3. Step 3: Cross multiply
    8,242.07x = 12,362.99 × 2,002.13
  4. Step 4: Simplify right side
    8,242.07x = 24,752,241.34
  5. Step 5: Solve for x
    x = 24,752,241.34/8,242.07
  6. Step 6: Final answer
    x = 3,003.16

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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.