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Finding the Fourth Proportional to 11,463.38, 15,822.28 and 6,989.60

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Solution

The fourth proportional to 11,463.38, 15,822.28 and 6,989.60 is: 9,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.38 : 15,822.28 = 6,989.60 : x
  2. Step 2: Convert to fraction form
    11,463.38/15,822.28 = 6,989.60/x
  3. Step 3: Cross multiply
    11,463.38x = 15,822.28 × 6,989.60
  4. Step 4: Simplify right side
    11,463.38x = 110,591,294.23
  5. Step 5: Solve for x
    x = 110,591,294.23/11,463.38
  6. Step 6: Final answer
    x = 9,647.35

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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.