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Finding the Fourth Proportional to 10,291.68, 14,200.02 and 6,257.52

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Solution

The fourth proportional to 10,291.68, 14,200.02 and 6,257.52 is: 8,633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.68 : 14,200.02 = 6,257.52 : x
  2. Step 2: Convert to fraction form
    10,291.68/14,200.02 = 6,257.52/x
  3. Step 3: Cross multiply
    10,291.68x = 14,200.02 × 6,257.52
  4. Step 4: Simplify right side
    10,291.68x = 88,856,909.15
  5. Step 5: Solve for x
    x = 88,856,909.15/10,291.68
  6. Step 6: Final answer
    x = 8,633.86

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