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Finding the Fourth Proportional to 8,732.36, 12,055.38 and 5,901.80

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Solution

The fourth proportional to 8,732.36, 12,055.38 and 5,901.80 is: 8,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.36 : 12,055.38 = 5,901.80 : x
  2. Step 2: Convert to fraction form
    8,732.36/12,055.38 = 5,901.80/x
  3. Step 3: Cross multiply
    8,732.36x = 12,055.38 × 5,901.80
  4. Step 4: Simplify right side
    8,732.36x = 71,148,441.68
  5. Step 5: Solve for x
    x = 71,148,441.68/8,732.36
  6. Step 6: Final answer
    x = 8,147.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.