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Finding the Fourth Proportional to 11,742.87, 17,614.19 and 3,534.87

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Solution

The fourth proportional to 11,742.87, 17,614.19 and 3,534.87 is: 5,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.87 : 17,614.19 = 3,534.87 : x
  2. Step 2: Convert to fraction form
    11,742.87/17,614.19 = 3,534.87/x
  3. Step 3: Cross multiply
    11,742.87x = 17,614.19 × 3,534.87
  4. Step 4: Simplify right side
    11,742.87x = 62,263,854.13
  5. Step 5: Solve for x
    x = 62,263,854.13/11,742.87
  6. Step 6: Final answer
    x = 5,302.27

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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.