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Finding the Fourth Proportional to 10,652.80, 15,964.80 and 9,414.40

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Solution

The fourth proportional to 10,652.80, 15,964.80 and 9,414.40 is: 14,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.80 : 15,964.80 = 9,414.40 : x
  2. Step 2: Convert to fraction form
    10,652.80/15,964.80 = 9,414.40/x
  3. Step 3: Cross multiply
    10,652.80x = 15,964.80 × 9,414.40
  4. Step 4: Simplify right side
    10,652.80x = 150,299,013.12
  5. Step 5: Solve for x
    x = 150,299,013.12/10,652.80
  6. Step 6: Final answer
    x = 14,108.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.