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Finding the Fourth Proportional to 10,438.77, 15,656.49 and 3,863.46

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Solution

The fourth proportional to 10,438.77, 15,656.49 and 3,863.46 is: 5,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.77 : 15,656.49 = 3,863.46 : x
  2. Step 2: Convert to fraction form
    10,438.77/15,656.49 = 3,863.46/x
  3. Step 3: Cross multiply
    10,438.77x = 15,656.49 × 3,863.46
  4. Step 4: Simplify right side
    10,438.77x = 60,488,222.86
  5. Step 5: Solve for x
    x = 60,488,222.86/10,438.77
  6. Step 6: Final answer
    x = 5,794.57

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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.