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Finding the Fourth Proportional to 10,880.25, 15,013.11 and 6,164.83

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Solution

The fourth proportional to 10,880.25, 15,013.11 and 6,164.83 is: 8,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.25 : 15,013.11 = 6,164.83 : x
  2. Step 2: Convert to fraction form
    10,880.25/15,013.11 = 6,164.83/x
  3. Step 3: Cross multiply
    10,880.25x = 15,013.11 × 6,164.83
  4. Step 4: Simplify right side
    10,880.25x = 92,553,270.92
  5. Step 5: Solve for x
    x = 92,553,270.92/10,880.25
  6. Step 6: Final answer
    x = 8,506.54

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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.