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Finding the Fourth Proportional to 11,787.84, 16,267.25 and 6,482.55

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Solution

The fourth proportional to 11,787.84, 16,267.25 and 6,482.55 is: 8,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.84 : 16,267.25 = 6,482.55 : x
  2. Step 2: Convert to fraction form
    11,787.84/16,267.25 = 6,482.55/x
  3. Step 3: Cross multiply
    11,787.84x = 16,267.25 × 6,482.55
  4. Step 4: Simplify right side
    11,787.84x = 105,453,229.07
  5. Step 5: Solve for x
    x = 105,453,229.07/11,787.84
  6. Step 6: Final answer
    x = 8,945.93

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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.