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Finding the Fourth Proportional to 7,727.59, 11,593.34 and 4,216.65

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Solution

The fourth proportional to 7,727.59, 11,593.34 and 4,216.65 is: 6,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.59 : 11,593.34 = 4,216.65 : x
  2. Step 2: Convert to fraction form
    7,727.59/11,593.34 = 4,216.65/x
  3. Step 3: Cross multiply
    7,727.59x = 11,593.34 × 4,216.65
  4. Step 4: Simplify right side
    7,727.59x = 48,885,057.11
  5. Step 5: Solve for x
    x = 48,885,057.11/7,727.59
  6. Step 6: Final answer
    x = 6,326.04

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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.