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Finding the Fourth Proportional to 10,452.68, 14,422.02 and 6,257.96

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Solution

The fourth proportional to 10,452.68, 14,422.02 and 6,257.96 is: 8,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.68 : 14,422.02 = 6,257.96 : x
  2. Step 2: Convert to fraction form
    10,452.68/14,422.02 = 6,257.96/x
  3. Step 3: Cross multiply
    10,452.68x = 14,422.02 × 6,257.96
  4. Step 4: Simplify right side
    10,452.68x = 90,252,424.28
  5. Step 5: Solve for x
    x = 90,252,424.28/10,452.68
  6. Step 6: Final answer
    x = 8,634.38

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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.