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Finding the Fourth Proportional to 8,187.47, 12,281.98 and 2,264.12

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Solution

The fourth proportional to 8,187.47, 12,281.98 and 2,264.12 is: 3,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.47 : 12,281.98 = 2,264.12 : x
  2. Step 2: Convert to fraction form
    8,187.47/12,281.98 = 2,264.12/x
  3. Step 3: Cross multiply
    8,187.47x = 12,281.98 × 2,264.12
  4. Step 4: Simplify right side
    8,187.47x = 27,807,859.79
  5. Step 5: Solve for x
    x = 27,807,859.79/8,187.47
  6. Step 6: Final answer
    x = 3,396.39

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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.