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Finding the Fourth Proportional to 11,787.75, 16,267.10 and 6,482.57

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Solution

The fourth proportional to 11,787.75, 16,267.10 and 6,482.57 is: 8,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.75 : 16,267.10 = 6,482.57 : x
  2. Step 2: Convert to fraction form
    11,787.75/16,267.10 = 6,482.57/x
  3. Step 3: Cross multiply
    11,787.75x = 16,267.10 × 6,482.57
  4. Step 4: Simplify right side
    11,787.75x = 105,452,500.70
  5. Step 5: Solve for x
    x = 105,452,500.70/11,787.75
  6. Step 6: Final answer
    x = 8,945.94

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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.