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Finding the Fourth Proportional to 8,314.98, 11,475.78 and 5,290.38

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Solution

The fourth proportional to 8,314.98, 11,475.78 and 5,290.38 is: 7,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.98 : 11,475.78 = 5,290.38 : x
  2. Step 2: Convert to fraction form
    8,314.98/11,475.78 = 5,290.38/x
  3. Step 3: Cross multiply
    8,314.98x = 11,475.78 × 5,290.38
  4. Step 4: Simplify right side
    8,314.98x = 60,711,237.00
  5. Step 5: Solve for x
    x = 60,711,237.00/8,314.98
  6. Step 6: Final answer
    x = 7,301.43

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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.