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Finding the Fourth Proportional to 11,411.75, 15,748.55 and 6,376.18

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Solution

The fourth proportional to 11,411.75, 15,748.55 and 6,376.18 is: 8,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.75 : 15,748.55 = 6,376.18 : x
  2. Step 2: Convert to fraction form
    11,411.75/15,748.55 = 6,376.18/x
  3. Step 3: Cross multiply
    11,411.75x = 15,748.55 × 6,376.18
  4. Step 4: Simplify right side
    11,411.75x = 100,415,589.54
  5. Step 5: Solve for x
    x = 100,415,589.54/11,411.75
  6. Step 6: Final answer
    x = 8,799.32

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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.