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Finding the Fourth Proportional to 8,206.31, 11,304.95 and 6,527.18

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Solution

The fourth proportional to 8,206.31, 11,304.95 and 6,527.18 is: 8,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.31 : 11,304.95 = 6,527.18 : x
  2. Step 2: Convert to fraction form
    8,206.31/11,304.95 = 6,527.18/x
  3. Step 3: Cross multiply
    8,206.31x = 11,304.95 × 6,527.18
  4. Step 4: Simplify right side
    8,206.31x = 73,789,354.38
  5. Step 5: Solve for x
    x = 73,789,354.38/8,206.31
  6. Step 6: Final answer
    x = 8,991.79

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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.