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Finding the Fourth Proportional to 8,312.32, 12,458.57 and 3,863.98

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Solution

The fourth proportional to 8,312.32, 12,458.57 and 3,863.98 is: 5,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.32 : 12,458.57 = 3,863.98 : x
  2. Step 2: Convert to fraction form
    8,312.32/12,458.57 = 3,863.98/x
  3. Step 3: Cross multiply
    8,312.32x = 12,458.57 × 3,863.98
  4. Step 4: Simplify right side
    8,312.32x = 48,139,661.56
  5. Step 5: Solve for x
    x = 48,139,661.56/8,312.32
  6. Step 6: Final answer
    x = 5,791.36

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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.