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Finding the Fourth Proportional to 8,165.66, 12,243.02 and 3,780.72

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Solution

The fourth proportional to 8,165.66, 12,243.02 and 3,780.72 is: 5,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.66 : 12,243.02 = 3,780.72 : x
  2. Step 2: Convert to fraction form
    8,165.66/12,243.02 = 3,780.72/x
  3. Step 3: Cross multiply
    8,165.66x = 12,243.02 × 3,780.72
  4. Step 4: Simplify right side
    8,165.66x = 46,287,411.67
  5. Step 5: Solve for x
    x = 46,287,411.67/8,165.66
  6. Step 6: Final answer
    x = 5,668.55

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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.