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Finding the Fourth Proportional to 8,186.40, 12,294.45 and 7,165.80

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Solution

The fourth proportional to 8,186.40, 12,294.45 and 7,165.80 is: 10,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.40 : 12,294.45 = 7,165.80 : x
  2. Step 2: Convert to fraction form
    8,186.40/12,294.45 = 7,165.80/x
  3. Step 3: Cross multiply
    8,186.40x = 12,294.45 × 7,165.80
  4. Step 4: Simplify right side
    8,186.40x = 88,099,569.81
  5. Step 5: Solve for x
    x = 88,099,569.81/8,186.40
  6. Step 6: Final answer
    x = 10,761.70

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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.