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Finding the Fourth Proportional to 11,158.56, 16,657.80 and 10,380.96

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Solution

The fourth proportional to 11,158.56, 16,657.80 and 10,380.96 is: 15,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,158.56 : 16,657.80 = 10,380.96 : x
  2. Step 2: Convert to fraction form
    11,158.56/16,657.80 = 10,380.96/x
  3. Step 3: Cross multiply
    11,158.56x = 16,657.80 × 10,380.96
  4. Step 4: Simplify right side
    11,158.56x = 172,923,955.49
  5. Step 5: Solve for x
    x = 172,923,955.49/11,158.56
  6. Step 6: Final answer
    x = 15,496.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.