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Finding the Fourth Proportional to 8,854.13, 13,286.66 and 3,660

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Solution

The fourth proportional to 8,854.13, 13,286.66 and 3,660 is: 5,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854.13 : 13,286.66 = 3,660 : x
  2. Step 2: Convert to fraction form
    8,854.13/13,286.66 = 3,660/x
  3. Step 3: Cross multiply
    8,854.13x = 13,286.66 × 3,660
  4. Step 4: Simplify right side
    8,854.13x = 48,629,175.60
  5. Step 5: Solve for x
    x = 48,629,175.60/8,854.13
  6. Step 6: Final answer
    x = 5,492.26

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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.