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Finding the Fourth Proportional to 11,880.38, 17,822.39 and 8,618.10

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Solution

The fourth proportional to 11,880.38, 17,822.39 and 8,618.10 is: 12,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880.38 : 17,822.39 = 8,618.10 : x
  2. Step 2: Convert to fraction form
    11,880.38/17,822.39 = 8,618.10/x
  3. Step 3: Cross multiply
    11,880.38x = 17,822.39 × 8,618.10
  4. Step 4: Simplify right side
    11,880.38x = 153,595,139.26
  5. Step 5: Solve for x
    x = 153,595,139.26/11,880.38
  6. Step 6: Final answer
    x = 12,928.47

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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.