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Finding the Fourth Proportional to 8,253.92, 11,393.44 and 5,596

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Solution

The fourth proportional to 8,253.92, 11,393.44 and 5,596 is: 7,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.92 : 11,393.44 = 5,596 : x
  2. Step 2: Convert to fraction form
    8,253.92/11,393.44 = 5,596/x
  3. Step 3: Cross multiply
    8,253.92x = 11,393.44 × 5,596
  4. Step 4: Simplify right side
    8,253.92x = 63,757,690.24
  5. Step 5: Solve for x
    x = 63,757,690.24/8,253.92
  6. Step 6: Final answer
    x = 7,724.53

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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.