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Finding the Fourth Proportional to 11,189.28, 16,784.44 and 7,917

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Solution

The fourth proportional to 11,189.28, 16,784.44 and 7,917 is: 11,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.28 : 16,784.44 = 7,917 : x
  2. Step 2: Convert to fraction form
    11,189.28/16,784.44 = 7,917/x
  3. Step 3: Cross multiply
    11,189.28x = 16,784.44 × 7,917
  4. Step 4: Simplify right side
    11,189.28x = 132,882,411.48
  5. Step 5: Solve for x
    x = 132,882,411.48/11,189.28
  6. Step 6: Final answer
    x = 11,875.87

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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.