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Finding the Fourth Proportional to 11,787.98, 16,267.04 and 6,482.78

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Solution

The fourth proportional to 11,787.98, 16,267.04 and 6,482.78 is: 8,946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.98 : 16,267.04 = 6,482.78 : x
  2. Step 2: Convert to fraction form
    11,787.98/16,267.04 = 6,482.78/x
  3. Step 3: Cross multiply
    11,787.98x = 16,267.04 × 6,482.78
  4. Step 4: Simplify right side
    11,787.98x = 105,455,641.57
  5. Step 5: Solve for x
    x = 105,455,641.57/11,787.98
  6. Step 6: Final answer
    x = 8,946.03

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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.