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Finding the Fourth Proportional to 10,775.33, 16,178.12 and 5,514.12

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Solution

The fourth proportional to 10,775.33, 16,178.12 and 5,514.12 is: 8,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.33 : 16,178.12 = 5,514.12 : x
  2. Step 2: Convert to fraction form
    10,775.33/16,178.12 = 5,514.12/x
  3. Step 3: Cross multiply
    10,775.33x = 16,178.12 × 5,514.12
  4. Step 4: Simplify right side
    10,775.33x = 89,208,000.38
  5. Step 5: Solve for x
    x = 89,208,000.38/10,775.33
  6. Step 6: Final answer
    x = 8,278.91

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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.