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Finding the Fourth Proportional to 8,281.57, 12,410.27 and 3,840.59

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Solution

The fourth proportional to 8,281.57, 12,410.27 and 3,840.59 is: 5,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.57 : 12,410.27 = 3,840.59 : x
  2. Step 2: Convert to fraction form
    8,281.57/12,410.27 = 3,840.59/x
  3. Step 3: Cross multiply
    8,281.57x = 12,410.27 × 3,840.59
  4. Step 4: Simplify right side
    8,281.57x = 47,662,758.86
  5. Step 5: Solve for x
    x = 47,662,758.86/8,281.57
  6. Step 6: Final answer
    x = 5,755.28

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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.