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Finding the Fourth Proportional to 11,411.49, 15,747.72 and 6,376.20

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Solution

The fourth proportional to 11,411.49, 15,747.72 and 6,376.20 is: 8,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.49 : 15,747.72 = 6,376.20 : x
  2. Step 2: Convert to fraction form
    11,411.49/15,747.72 = 6,376.20/x
  3. Step 3: Cross multiply
    11,411.49x = 15,747.72 × 6,376.20
  4. Step 4: Simplify right side
    11,411.49x = 100,410,612.26
  5. Step 5: Solve for x
    x = 100,410,612.26/11,411.49
  6. Step 6: Final answer
    x = 8,799.08

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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.