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Finding the Fourth Proportional to 8,252.85, 12,385.35 and 5,137.40

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Solution

The fourth proportional to 8,252.85, 12,385.35 and 5,137.40 is: 7,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.85 : 12,385.35 = 5,137.40 : x
  2. Step 2: Convert to fraction form
    8,252.85/12,385.35 = 5,137.40/x
  3. Step 3: Cross multiply
    8,252.85x = 12,385.35 × 5,137.40
  4. Step 4: Simplify right side
    8,252.85x = 63,628,435.16
  5. Step 5: Solve for x
    x = 63,628,435.16/8,252.85
  6. Step 6: Final answer
    x = 7,709.87

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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.