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Finding the Fourth Proportional to 7,710.39, 10,644.92 and 5,062.44

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Solution

The fourth proportional to 7,710.39, 10,644.92 and 5,062.44 is: 6,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.39 : 10,644.92 = 5,062.44 : x
  2. Step 2: Convert to fraction form
    7,710.39/10,644.92 = 5,062.44/x
  3. Step 3: Cross multiply
    7,710.39x = 10,644.92 × 5,062.44
  4. Step 4: Simplify right side
    7,710.39x = 53,889,268.80
  5. Step 5: Solve for x
    x = 53,889,268.80/7,710.39
  6. Step 6: Final answer
    x = 6,989.18

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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.