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Finding the Fourth Proportional to 11,164.13, 16,750.28 and 8,047.65

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Solution

The fourth proportional to 11,164.13, 16,750.28 and 8,047.65 is: 12,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.13 : 16,750.28 = 8,047.65 : x
  2. Step 2: Convert to fraction form
    11,164.13/16,750.28 = 8,047.65/x
  3. Step 3: Cross multiply
    11,164.13x = 16,750.28 × 8,047.65
  4. Step 4: Simplify right side
    11,164.13x = 134,800,473.77
  5. Step 5: Solve for x
    x = 134,800,473.77/11,164.13
  6. Step 6: Final answer
    x = 12,074.43

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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.