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Finding the Fourth Proportional to 11,908.76, 16,440.60 and 7,875.78

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Solution

The fourth proportional to 11,908.76, 16,440.60 and 7,875.78 is: 10,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.76 : 16,440.60 = 7,875.78 : x
  2. Step 2: Convert to fraction form
    11,908.76/16,440.60 = 7,875.78/x
  3. Step 3: Cross multiply
    11,908.76x = 16,440.60 × 7,875.78
  4. Step 4: Simplify right side
    11,908.76x = 129,482,548.67
  5. Step 5: Solve for x
    x = 129,482,548.67/11,908.76
  6. Step 6: Final answer
    x = 10,872.88

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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.