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Finding the Fourth Proportional to 7,731.24, 10,654.38 and 7,589.06

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Solution

The fourth proportional to 7,731.24, 10,654.38 and 7,589.06 is: 10,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.24 : 10,654.38 = 7,589.06 : x
  2. Step 2: Convert to fraction form
    7,731.24/10,654.38 = 7,589.06/x
  3. Step 3: Cross multiply
    7,731.24x = 10,654.38 × 7,589.06
  4. Step 4: Simplify right side
    7,731.24x = 80,856,729.08
  5. Step 5: Solve for x
    x = 80,856,729.08/7,731.24
  6. Step 6: Final answer
    x = 10,458.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.