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Finding the Fourth Proportional to 8,870.40, 13,286.40 and 5,414.40

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Solution

The fourth proportional to 8,870.40, 13,286.40 and 5,414.40 is: 8,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,870.40 : 13,286.40 = 5,414.40 : x
  2. Step 2: Convert to fraction form
    8,870.40/13,286.40 = 5,414.40/x
  3. Step 3: Cross multiply
    8,870.40x = 13,286.40 × 5,414.40
  4. Step 4: Simplify right side
    8,870.40x = 71,937,884.16
  5. Step 5: Solve for x
    x = 71,937,884.16/8,870.40
  6. Step 6: Final answer
    x = 8,109.88

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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.