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Finding the Fourth Proportional to 8,258.87, 12,391.77 and 5,141.48

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Solution

The fourth proportional to 8,258.87, 12,391.77 and 5,141.48 is: 7,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.87 : 12,391.77 = 5,141.48 : x
  2. Step 2: Convert to fraction form
    8,258.87/12,391.77 = 5,141.48/x
  3. Step 3: Cross multiply
    8,258.87x = 12,391.77 × 5,141.48
  4. Step 4: Simplify right side
    8,258.87x = 63,712,037.62
  5. Step 5: Solve for x
    x = 63,712,037.62/8,258.87
  6. Step 6: Final answer
    x = 7,714.38

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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.