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Finding the Fourth Proportional to 8,374.11, 11,549.68 and 7,418.04

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Solution

The fourth proportional to 8,374.11, 11,549.68 and 7,418.04 is: 10,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.11 : 11,549.68 = 7,418.04 : x
  2. Step 2: Convert to fraction form
    8,374.11/11,549.68 = 7,418.04/x
  3. Step 3: Cross multiply
    8,374.11x = 11,549.68 × 7,418.04
  4. Step 4: Simplify right side
    8,374.11x = 85,675,969.68
  5. Step 5: Solve for x
    x = 85,675,969.68/8,374.11
  6. Step 6: Final answer
    x = 10,231.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.