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Finding the Fourth Proportional to 8,239.95, 12,357.37 and 2,974.28

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Solution

The fourth proportional to 8,239.95, 12,357.37 and 2,974.28 is: 4,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.95 : 12,357.37 = 2,974.28 : x
  2. Step 2: Convert to fraction form
    8,239.95/12,357.37 = 2,974.28/x
  3. Step 3: Cross multiply
    8,239.95x = 12,357.37 × 2,974.28
  4. Step 4: Simplify right side
    8,239.95x = 36,754,246.76
  5. Step 5: Solve for x
    x = 36,754,246.76/8,239.95
  6. Step 6: Final answer
    x = 4,460.49

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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.