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Finding the Fourth Proportional to 8,630, 11,909.76 and 5,096.24

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Solution

The fourth proportional to 8,630, 11,909.76 and 5,096.24 is: 7,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,630 : 11,909.76 = 5,096.24 : x
  2. Step 2: Convert to fraction form
    8,630/11,909.76 = 5,096.24/x
  3. Step 3: Cross multiply
    8,630x = 11,909.76 × 5,096.24
  4. Step 4: Simplify right side
    8,630x = 60,694,995.30
  5. Step 5: Solve for x
    x = 60,694,995.30/8,630
  6. Step 6: Final answer
    x = 7,033.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.