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Finding the Fourth Proportional to 10,998.88, 15,178.60 and 6,283.44

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Solution

The fourth proportional to 10,998.88, 15,178.60 and 6,283.44 is: 8,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.88 : 15,178.60 = 6,283.44 : x
  2. Step 2: Convert to fraction form
    10,998.88/15,178.60 = 6,283.44/x
  3. Step 3: Cross multiply
    10,998.88x = 15,178.60 × 6,283.44
  4. Step 4: Simplify right side
    10,998.88x = 95,373,822.38
  5. Step 5: Solve for x
    x = 95,373,822.38/10,998.88
  6. Step 6: Final answer
    x = 8,671.23

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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.