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Finding the Fourth Proportional to 8,174.56, 11,277.24 and 6,282.76

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Solution

The fourth proportional to 8,174.56, 11,277.24 and 6,282.76 is: 8,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.56 : 11,277.24 = 6,282.76 : x
  2. Step 2: Convert to fraction form
    8,174.56/11,277.24 = 6,282.76/x
  3. Step 3: Cross multiply
    8,174.56x = 11,277.24 × 6,282.76
  4. Step 4: Simplify right side
    8,174.56x = 70,852,192.38
  5. Step 5: Solve for x
    x = 70,852,192.38/8,174.56
  6. Step 6: Final answer
    x = 8,667.40

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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.