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Finding the Fourth Proportional to 11,930.65, 17,868.71 and 5,695.04

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Solution

The fourth proportional to 11,930.65, 17,868.71 and 5,695.04 is: 8,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.65 : 17,868.71 = 5,695.04 : x
  2. Step 2: Convert to fraction form
    11,930.65/17,868.71 = 5,695.04/x
  3. Step 3: Cross multiply
    11,930.65x = 17,868.71 × 5,695.04
  4. Step 4: Simplify right side
    11,930.65x = 101,763,077.11
  5. Step 5: Solve for x
    x = 101,763,077.11/11,930.65
  6. Step 6: Final answer
    x = 8,529.55

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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.