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Finding the Fourth Proportional to 8,366.60, 12,564.30 and 8,107.40

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Solution

The fourth proportional to 8,366.60, 12,564.30 and 8,107.40 is: 12,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.60 : 12,564.30 = 8,107.40 : x
  2. Step 2: Convert to fraction form
    8,366.60/12,564.30 = 8,107.40/x
  3. Step 3: Cross multiply
    8,366.60x = 12,564.30 × 8,107.40
  4. Step 4: Simplify right side
    8,366.60x = 101,863,805.82
  5. Step 5: Solve for x
    x = 101,863,805.82/8,366.60
  6. Step 6: Final answer
    x = 12,175.05

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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.