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Finding the Fourth Proportional to 8,256.57, 12,375.31 and 3,804.93

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Solution

The fourth proportional to 8,256.57, 12,375.31 and 3,804.93 is: 5,702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.57 : 12,375.31 = 3,804.93 : x
  2. Step 2: Convert to fraction form
    8,256.57/12,375.31 = 3,804.93/x
  3. Step 3: Cross multiply
    8,256.57x = 12,375.31 × 3,804.93
  4. Step 4: Simplify right side
    8,256.57x = 47,087,107.38
  5. Step 5: Solve for x
    x = 47,087,107.38/8,256.57
  6. Step 6: Final answer
    x = 5,702.99

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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.