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Finding the Fourth Proportional to 8,314.02, 11,471.76 and 4,777.38

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Solution

The fourth proportional to 8,314.02, 11,471.76 and 4,777.38 is: 6,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.02 : 11,471.76 = 4,777.38 : x
  2. Step 2: Convert to fraction form
    8,314.02/11,471.76 = 4,777.38/x
  3. Step 3: Cross multiply
    8,314.02x = 11,471.76 × 4,777.38
  4. Step 4: Simplify right side
    8,314.02x = 54,804,956.79
  5. Step 5: Solve for x
    x = 54,804,956.79/8,314.02
  6. Step 6: Final answer
    x = 6,591.87

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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.