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Finding the Fourth Proportional to 7,077.64, 10,612.86 and 2,691.76

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Solution

The fourth proportional to 7,077.64, 10,612.86 and 2,691.76 is: 4,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.64 : 10,612.86 = 2,691.76 : x
  2. Step 2: Convert to fraction form
    7,077.64/10,612.86 = 2,691.76/x
  3. Step 3: Cross multiply
    7,077.64x = 10,612.86 × 2,691.76
  4. Step 4: Simplify right side
    7,077.64x = 28,567,272.03
  5. Step 5: Solve for x
    x = 28,567,272.03/7,077.64
  6. Step 6: Final answer
    x = 4,036.27

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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.