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Finding the Fourth Proportional to 10,711.88, 16,071.11 and 4,793.75

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Solution

The fourth proportional to 10,711.88, 16,071.11 and 4,793.75 is: 7,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.88 : 16,071.11 = 4,793.75 : x
  2. Step 2: Convert to fraction form
    10,711.88/16,071.11 = 4,793.75/x
  3. Step 3: Cross multiply
    10,711.88x = 16,071.11 × 4,793.75
  4. Step 4: Simplify right side
    10,711.88x = 77,040,917.75
  5. Step 5: Solve for x
    x = 77,040,917.75/10,711.88
  6. Step 6: Final answer
    x = 7,192.10

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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.