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Finding the Fourth Proportional to 8,462.90, 11,689.92 and 6,497.72

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Solution

The fourth proportional to 8,462.90, 11,689.92 and 6,497.72 is: 8,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.90 : 11,689.92 = 6,497.72 : x
  2. Step 2: Convert to fraction form
    8,462.90/11,689.92 = 6,497.72/x
  3. Step 3: Cross multiply
    8,462.90x = 11,689.92 × 6,497.72
  4. Step 4: Simplify right side
    8,462.90x = 75,957,826.98
  5. Step 5: Solve for x
    x = 75,957,826.98/8,462.90
  6. Step 6: Final answer
    x = 8,975.39

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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.