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Finding the Fourth Proportional to 11,787.60, 17,674.11 and 5,025.18

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Solution

The fourth proportional to 11,787.60, 17,674.11 and 5,025.18 is: 7,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.60 : 17,674.11 = 5,025.18 : x
  2. Step 2: Convert to fraction form
    11,787.60/17,674.11 = 5,025.18/x
  3. Step 3: Cross multiply
    11,787.60x = 17,674.11 × 5,025.18
  4. Step 4: Simplify right side
    11,787.60x = 88,815,584.09
  5. Step 5: Solve for x
    x = 88,815,584.09/11,787.60
  6. Step 6: Final answer
    x = 7,534.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.