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Finding the Fourth Proportional to 7,650.88, 10,558.56 and 5,992

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Solution

The fourth proportional to 7,650.88, 10,558.56 and 5,992 is: 8,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.88 : 10,558.56 = 5,992 : x
  2. Step 2: Convert to fraction form
    7,650.88/10,558.56 = 5,992/x
  3. Step 3: Cross multiply
    7,650.88x = 10,558.56 × 5,992
  4. Step 4: Simplify right side
    7,650.88x = 63,266,891.52
  5. Step 5: Solve for x
    x = 63,266,891.52/7,650.88
  6. Step 6: Final answer
    x = 8,269.23

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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.