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Finding the Fourth Proportional to 8,731.92, 13,100.22 and 3,534.96

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Solution

The fourth proportional to 8,731.92, 13,100.22 and 3,534.96 is: 5,303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.92 : 13,100.22 = 3,534.96 : x
  2. Step 2: Convert to fraction form
    8,731.92/13,100.22 = 3,534.96/x
  3. Step 3: Cross multiply
    8,731.92x = 13,100.22 × 3,534.96
  4. Step 4: Simplify right side
    8,731.92x = 46,308,753.69
  5. Step 5: Solve for x
    x = 46,308,753.69/8,731.92
  6. Step 6: Final answer
    x = 5,303.39

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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.