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Finding the Fourth Proportional to 11,129.62, 16,698.66 and 5,209.88

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Solution

The fourth proportional to 11,129.62, 16,698.66 and 5,209.88 is: 7,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129.62 : 16,698.66 = 5,209.88 : x
  2. Step 2: Convert to fraction form
    11,129.62/16,698.66 = 5,209.88/x
  3. Step 3: Cross multiply
    11,129.62x = 16,698.66 × 5,209.88
  4. Step 4: Simplify right side
    11,129.62x = 86,998,014.76
  5. Step 5: Solve for x
    x = 86,998,014.76/11,129.62
  6. Step 6: Final answer
    x = 7,816.80

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