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Finding the Fourth Proportional to 8,294.23, 12,444.99 and 2,748.37

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Solution

The fourth proportional to 8,294.23, 12,444.99 and 2,748.37 is: 4,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.23 : 12,444.99 = 2,748.37 : x
  2. Step 2: Convert to fraction form
    8,294.23/12,444.99 = 2,748.37/x
  3. Step 3: Cross multiply
    8,294.23x = 12,444.99 × 2,748.37
  4. Step 4: Simplify right side
    8,294.23x = 34,203,437.17
  5. Step 5: Solve for x
    x = 34,203,437.17/8,294.23
  6. Step 6: Final answer
    x = 4,123.76

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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.