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Finding the Fourth Proportional to 11,787.92, 16,267.32 and 6,482.69

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Solution

The fourth proportional to 11,787.92, 16,267.32 and 6,482.69 is: 8,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.92 : 16,267.32 = 6,482.69 : x
  2. Step 2: Convert to fraction form
    11,787.92/16,267.32 = 6,482.69/x
  3. Step 3: Cross multiply
    11,787.92x = 16,267.32 × 6,482.69
  4. Step 4: Simplify right side
    11,787.92x = 105,455,911.35
  5. Step 5: Solve for x
    x = 105,455,911.35/11,787.92
  6. Step 6: Final answer
    x = 8,946.10

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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.