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Finding the Fourth Proportional to 8,527.72, 11,734.14 and 6,537.52

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Solution

The fourth proportional to 8,527.72, 11,734.14 and 6,537.52 is: 8,995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.72 : 11,734.14 = 6,537.52 : x
  2. Step 2: Convert to fraction form
    8,527.72/11,734.14 = 6,537.52/x
  3. Step 3: Cross multiply
    8,527.72x = 11,734.14 × 6,537.52
  4. Step 4: Simplify right side
    8,527.72x = 76,712,174.93
  5. Step 5: Solve for x
    x = 76,712,174.93/8,527.72
  6. Step 6: Final answer
    x = 8,995.63

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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.