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Finding the Fourth Proportional to 10,723.92, 14,799.48 and 6,743.52

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Solution

The fourth proportional to 10,723.92, 14,799.48 and 6,743.52 is: 9,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.92 : 14,799.48 = 6,743.52 : x
  2. Step 2: Convert to fraction form
    10,723.92/14,799.48 = 6,743.52/x
  3. Step 3: Cross multiply
    10,723.92x = 14,799.48 × 6,743.52
  4. Step 4: Simplify right side
    10,723.92x = 99,800,589.37
  5. Step 5: Solve for x
    x = 99,800,589.37/10,723.92
  6. Step 6: Final answer
    x = 9,306.35

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