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Finding the Fourth Proportional to 8,187.17, 12,281.49 and 2,264.42

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Solution

The fourth proportional to 8,187.17, 12,281.49 and 2,264.42 is: 3,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.17 : 12,281.49 = 2,264.42 : x
  2. Step 2: Convert to fraction form
    8,187.17/12,281.49 = 2,264.42/x
  3. Step 3: Cross multiply
    8,187.17x = 12,281.49 × 2,264.42
  4. Step 4: Simplify right side
    8,187.17x = 27,810,482.29
  5. Step 5: Solve for x
    x = 27,810,482.29/8,187.17
  6. Step 6: Final answer
    x = 3,396.84

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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.