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Finding the Fourth Proportional to 11,189.68, 16,787.84 and 4,616.26

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Solution

The fourth proportional to 11,189.68, 16,787.84 and 4,616.26 is: 6,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.68 : 16,787.84 = 4,616.26 : x
  2. Step 2: Convert to fraction form
    11,189.68/16,787.84 = 4,616.26/x
  3. Step 3: Cross multiply
    11,189.68x = 16,787.84 × 4,616.26
  4. Step 4: Simplify right side
    11,189.68x = 77,497,034.28
  5. Step 5: Solve for x
    x = 77,497,034.28/11,189.68
  6. Step 6: Final answer
    x = 6,925.76

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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.