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Finding the Fourth Proportional to 7,969.48, 11,950.17 and 2,702.86

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Solution

The fourth proportional to 7,969.48, 11,950.17 and 2,702.86 is: 4,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.48 : 11,950.17 = 2,702.86 : x
  2. Step 2: Convert to fraction form
    7,969.48/11,950.17 = 2,702.86/x
  3. Step 3: Cross multiply
    7,969.48x = 11,950.17 × 2,702.86
  4. Step 4: Simplify right side
    7,969.48x = 32,299,636.49
  5. Step 5: Solve for x
    x = 32,299,636.49/7,969.48
  6. Step 6: Final answer
    x = 4,052.92

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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.