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Finding the Fourth Proportional to 8,686.25, 13,046.84 and 5,183.10

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Solution

The fourth proportional to 8,686.25, 13,046.84 and 5,183.10 is: 7,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.25 : 13,046.84 = 5,183.10 : x
  2. Step 2: Convert to fraction form
    8,686.25/13,046.84 = 5,183.10/x
  3. Step 3: Cross multiply
    8,686.25x = 13,046.84 × 5,183.10
  4. Step 4: Simplify right side
    8,686.25x = 67,623,069.93
  5. Step 5: Solve for x
    x = 67,623,069.93/8,686.25
  6. Step 6: Final answer
    x = 7,785.07

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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.