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Finding the Fourth Proportional to 10,878.40, 15,013.12 and 6,163.52

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Solution

The fourth proportional to 10,878.40, 15,013.12 and 6,163.52 is: 8,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.40 : 15,013.12 = 6,163.52 : x
  2. Step 2: Convert to fraction form
    10,878.40/15,013.12 = 6,163.52/x
  3. Step 3: Cross multiply
    10,878.40x = 15,013.12 × 6,163.52
  4. Step 4: Simplify right side
    10,878.40x = 92,533,665.38
  5. Step 5: Solve for x
    x = 92,533,665.38/10,878.40
  6. Step 6: Final answer
    x = 8,506.18

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Why These Related Problems?

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