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Finding the Fourth Proportional to 11,740.62, 16,167.92 and 10,990.20

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Solution

The fourth proportional to 11,740.62, 16,167.92 and 10,990.20 is: 15,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.62 : 16,167.92 = 10,990.20 : x
  2. Step 2: Convert to fraction form
    11,740.62/16,167.92 = 10,990.20/x
  3. Step 3: Cross multiply
    11,740.62x = 16,167.92 × 10,990.20
  4. Step 4: Simplify right side
    11,740.62x = 177,688,674.38
  5. Step 5: Solve for x
    x = 177,688,674.38/11,740.62
  6. Step 6: Final answer
    x = 15,134.52

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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.