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Finding the Fourth Proportional to 8,633.91, 12,952.34 and 2,709.66

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Solution

The fourth proportional to 8,633.91, 12,952.34 and 2,709.66 is: 4,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.91 : 12,952.34 = 2,709.66 : x
  2. Step 2: Convert to fraction form
    8,633.91/12,952.34 = 2,709.66/x
  3. Step 3: Cross multiply
    8,633.91x = 12,952.34 × 2,709.66
  4. Step 4: Simplify right side
    8,633.91x = 35,096,437.60
  5. Step 5: Solve for x
    x = 35,096,437.60/8,633.91
  6. Step 6: Final answer
    x = 4,064.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.