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Finding the Fourth Proportional to 11,301.76, 16,938.06 and 9,751.42

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Solution

The fourth proportional to 11,301.76, 16,938.06 and 9,751.42 is: 14,614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.76 : 16,938.06 = 9,751.42 : x
  2. Step 2: Convert to fraction form
    11,301.76/16,938.06 = 9,751.42/x
  3. Step 3: Cross multiply
    11,301.76x = 16,938.06 × 9,751.42
  4. Step 4: Simplify right side
    11,301.76x = 165,170,137.05
  5. Step 5: Solve for x
    x = 165,170,137.05/11,301.76
  6. Step 6: Final answer
    x = 14,614.55

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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.