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Finding the Fourth Proportional to 10,436.82, 15,655.95 and 3,862.86

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Solution

The fourth proportional to 10,436.82, 15,655.95 and 3,862.86 is: 5,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.82 : 15,655.95 = 3,862.86 : x
  2. Step 2: Convert to fraction form
    10,436.82/15,655.95 = 3,862.86/x
  3. Step 3: Cross multiply
    10,436.82x = 15,655.95 × 3,862.86
  4. Step 4: Simplify right side
    10,436.82x = 60,476,743.02
  5. Step 5: Solve for x
    x = 60,476,743.02/10,436.82
  6. Step 6: Final answer
    x = 5,794.56

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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.