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Finding the Fourth Proportional to 8,216.34, 12,324.60 and 2,373

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Solution

The fourth proportional to 8,216.34, 12,324.60 and 2,373 is: 3,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.34 : 12,324.60 = 2,373 : x
  2. Step 2: Convert to fraction form
    8,216.34/12,324.60 = 2,373/x
  3. Step 3: Cross multiply
    8,216.34x = 12,324.60 × 2,373
  4. Step 4: Simplify right side
    8,216.34x = 29,246,275.80
  5. Step 5: Solve for x
    x = 29,246,275.80/8,216.34
  6. Step 6: Final answer
    x = 3,559.53

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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.