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Finding the Fourth Proportional to 10,944.96, 16,422.48 and 6,789.84

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Solution

The fourth proportional to 10,944.96, 16,422.48 and 6,789.84 is: 10,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944.96 : 16,422.48 = 6,789.84 : x
  2. Step 2: Convert to fraction form
    10,944.96/16,422.48 = 6,789.84/x
  3. Step 3: Cross multiply
    10,944.96x = 16,422.48 × 6,789.84
  4. Step 4: Simplify right side
    10,944.96x = 111,506,011.60
  5. Step 5: Solve for x
    x = 111,506,011.60/10,944.96
  6. Step 6: Final answer
    x = 10,187.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.