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Finding the Fourth Proportional to 8,111.27, 12,160.65 and 7,287.05

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Solution

The fourth proportional to 8,111.27, 12,160.65 and 7,287.05 is: 10,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.27 : 12,160.65 = 7,287.05 : x
  2. Step 2: Convert to fraction form
    8,111.27/12,160.65 = 7,287.05/x
  3. Step 3: Cross multiply
    8,111.27x = 12,160.65 × 7,287.05
  4. Step 4: Simplify right side
    8,111.27x = 88,615,264.58
  5. Step 5: Solve for x
    x = 88,615,264.58/8,111.27
  6. Step 6: Final answer
    x = 10,924.96

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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.