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Finding the Fourth Proportional to 28,504.25, 42,762.05 and 8,781.97

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Solution

The fourth proportional to 28,504.25, 42,762.05 and 8,781.97 is: 13,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,504.25 : 42,762.05 = 8,781.97 : x
  2. Step 2: Convert to fraction form
    28,504.25/42,762.05 = 8,781.97/x
  3. Step 3: Cross multiply
    28,504.25x = 42,762.05 × 8,781.97
  4. Step 4: Simplify right side
    28,504.25x = 375,535,040.24
  5. Step 5: Solve for x
    x = 375,535,040.24/28,504.25
  6. Step 6: Final answer
    x = 13,174.70

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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.