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Finding the Fourth Proportional to 11,163.85, 15,398.75 and 7,178.65

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Solution

The fourth proportional to 11,163.85, 15,398.75 and 7,178.65 is: 9,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.85 : 15,398.75 = 7,178.65 : x
  2. Step 2: Convert to fraction form
    11,163.85/15,398.75 = 7,178.65/x
  3. Step 3: Cross multiply
    11,163.85x = 15,398.75 × 7,178.65
  4. Step 4: Simplify right side
    11,163.85x = 110,542,200.79
  5. Step 5: Solve for x
    x = 110,542,200.79/11,163.85
  6. Step 6: Final answer
    x = 9,901.80

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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.