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Finding the Fourth Proportional to 11,967.81, 17,957.30 and 4,569.83

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Solution

The fourth proportional to 11,967.81, 17,957.30 and 4,569.83 is: 6,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.81 : 17,957.30 = 4,569.83 : x
  2. Step 2: Convert to fraction form
    11,967.81/17,957.30 = 4,569.83/x
  3. Step 3: Cross multiply
    11,967.81x = 17,957.30 × 4,569.83
  4. Step 4: Simplify right side
    11,967.81x = 82,061,695.62
  5. Step 5: Solve for x
    x = 82,061,695.62/11,967.81
  6. Step 6: Final answer
    x = 6,856.87

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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.