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Finding the Fourth Proportional to 8,002.40, 12,002.66 and 2,159.47

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Solution

The fourth proportional to 8,002.40, 12,002.66 and 2,159.47 is: 3,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.40 : 12,002.66 = 2,159.47 : x
  2. Step 2: Convert to fraction form
    8,002.40/12,002.66 = 2,159.47/x
  3. Step 3: Cross multiply
    8,002.40x = 12,002.66 × 2,159.47
  4. Step 4: Simplify right side
    8,002.40x = 25,919,313.38
  5. Step 5: Solve for x
    x = 25,919,313.38/8,002.40
  6. Step 6: Final answer
    x = 3,238.94

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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.