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Finding the Fourth Proportional to 8,727.72, 13,086.68 and 7,690.08

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Solution

The fourth proportional to 8,727.72, 13,086.68 and 7,690.08 is: 11,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,727.72 : 13,086.68 = 7,690.08 : x
  2. Step 2: Convert to fraction form
    8,727.72/13,086.68 = 7,690.08/x
  3. Step 3: Cross multiply
    8,727.72x = 13,086.68 × 7,690.08
  4. Step 4: Simplify right side
    8,727.72x = 100,637,616.13
  5. Step 5: Solve for x
    x = 100,637,616.13/8,727.72
  6. Step 6: Final answer
    x = 11,530.80

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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.