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Finding the Fourth Proportional to 10,711.34, 14,774.02 and 6,519.86

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Solution

The fourth proportional to 10,711.34, 14,774.02 and 6,519.86 is: 8,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.34 : 14,774.02 = 6,519.86 : x
  2. Step 2: Convert to fraction form
    10,711.34/14,774.02 = 6,519.86/x
  3. Step 3: Cross multiply
    10,711.34x = 14,774.02 × 6,519.86
  4. Step 4: Simplify right side
    10,711.34x = 96,324,542.04
  5. Step 5: Solve for x
    x = 96,324,542.04/10,711.34
  6. Step 6: Final answer
    x = 8,992.76

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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.