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Finding the Fourth Proportional to 8,932.15, 13,406.97 and 7,460.80

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Solution

The fourth proportional to 8,932.15, 13,406.97 and 7,460.80 is: 11,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932.15 : 13,406.97 = 7,460.80 : x
  2. Step 2: Convert to fraction form
    8,932.15/13,406.97 = 7,460.80/x
  3. Step 3: Cross multiply
    8,932.15x = 13,406.97 × 7,460.80
  4. Step 4: Simplify right side
    8,932.15x = 100,026,721.78
  5. Step 5: Solve for x
    x = 100,026,721.78/8,932.15
  6. Step 6: Final answer
    x = 11,198.50

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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.