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Finding the Fourth Proportional to 10,883.38, 16,323.09 and 4,958.89

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Solution

The fourth proportional to 10,883.38, 16,323.09 and 4,958.89 is: 7,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.38 : 16,323.09 = 4,958.89 : x
  2. Step 2: Convert to fraction form
    10,883.38/16,323.09 = 4,958.89/x
  3. Step 3: Cross multiply
    10,883.38x = 16,323.09 × 4,958.89
  4. Step 4: Simplify right side
    10,883.38x = 80,944,407.77
  5. Step 5: Solve for x
    x = 80,944,407.77/10,883.38
  6. Step 6: Final answer
    x = 7,437.43

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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.