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Finding the Fourth Proportional to 7,137.56, 10,691.08 and 5,797.31

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Solution

The fourth proportional to 7,137.56, 10,691.08 and 5,797.31 is: 8,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.56 : 10,691.08 = 5,797.31 : x
  2. Step 2: Convert to fraction form
    7,137.56/10,691.08 = 5,797.31/x
  3. Step 3: Cross multiply
    7,137.56x = 10,691.08 × 5,797.31
  4. Step 4: Simplify right side
    7,137.56x = 61,979,437.05
  5. Step 5: Solve for x
    x = 61,979,437.05/7,137.56
  6. Step 6: Final answer
    x = 8,683.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.