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Finding the Fourth Proportional to 10,427.88, 15,625.62 and 5,743.92

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Solution

The fourth proportional to 10,427.88, 15,625.62 and 5,743.92 is: 8,606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.88 : 15,625.62 = 5,743.92 : x
  2. Step 2: Convert to fraction form
    10,427.88/15,625.62 = 5,743.92/x
  3. Step 3: Cross multiply
    10,427.88x = 15,625.62 × 5,743.92
  4. Step 4: Simplify right side
    10,427.88x = 89,752,311.23
  5. Step 5: Solve for x
    x = 89,752,311.23/10,427.88
  6. Step 6: Final answer
    x = 8,606.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.