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Finding the Fourth Proportional to 8,106.57, 11,187.59 and 4,568.49

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Solution

The fourth proportional to 8,106.57, 11,187.59 and 4,568.49 is: 6,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.57 : 11,187.59 = 4,568.49 : x
  2. Step 2: Convert to fraction form
    8,106.57/11,187.59 = 4,568.49/x
  3. Step 3: Cross multiply
    8,106.57x = 11,187.59 × 4,568.49
  4. Step 4: Simplify right side
    8,106.57x = 51,110,370.20
  5. Step 5: Solve for x
    x = 51,110,370.20/8,106.57
  6. Step 6: Final answer
    x = 6,304.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.