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Finding the Fourth Proportional to 10,663.38, 14,715.79 and 5,947.56

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Solution

The fourth proportional to 10,663.38, 14,715.79 and 5,947.56 is: 8,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.38 : 14,715.79 = 5,947.56 : x
  2. Step 2: Convert to fraction form
    10,663.38/14,715.79 = 5,947.56/x
  3. Step 3: Cross multiply
    10,663.38x = 14,715.79 × 5,947.56
  4. Step 4: Simplify right side
    10,663.38x = 87,523,051.02
  5. Step 5: Solve for x
    x = 87,523,051.02/10,663.38
  6. Step 6: Final answer
    x = 8,207.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.