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Finding the Fourth Proportional to 7,077.52, 10,608.96 and 3,184.66

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Solution

The fourth proportional to 7,077.52, 10,608.96 and 3,184.66 is: 4,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.52 : 10,608.96 = 3,184.66 : x
  2. Step 2: Convert to fraction form
    7,077.52/10,608.96 = 3,184.66/x
  3. Step 3: Cross multiply
    7,077.52x = 10,608.96 × 3,184.66
  4. Step 4: Simplify right side
    7,077.52x = 33,785,930.55
  5. Step 5: Solve for x
    x = 33,785,930.55/7,077.52
  6. Step 6: Final answer
    x = 4,773.70

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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.