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Finding the Fourth Proportional to 11,534.92, 17,302.98 and 3,743.12

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Solution

The fourth proportional to 11,534.92, 17,302.98 and 3,743.12 is: 5,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.92 : 17,302.98 = 3,743.12 : x
  2. Step 2: Convert to fraction form
    11,534.92/17,302.98 = 3,743.12/x
  3. Step 3: Cross multiply
    11,534.92x = 17,302.98 × 3,743.12
  4. Step 4: Simplify right side
    11,534.92x = 64,767,130.50
  5. Step 5: Solve for x
    x = 64,767,130.50/11,534.92
  6. Step 6: Final answer
    x = 5,614.87

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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.