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Finding the Fourth Proportional to 11,859.81, 17,787.66 and 4,068.62

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Solution

The fourth proportional to 11,859.81, 17,787.66 and 4,068.62 is: 6,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.81 : 17,787.66 = 4,068.62 : x
  2. Step 2: Convert to fraction form
    11,859.81/17,787.66 = 4,068.62/x
  3. Step 3: Cross multiply
    11,859.81x = 17,787.66 × 4,068.62
  4. Step 4: Simplify right side
    11,859.81x = 72,371,273.70
  5. Step 5: Solve for x
    x = 72,371,273.70/11,859.81
  6. Step 6: Final answer
    x = 6,102.23

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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.