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Finding the Fourth Proportional to 11,859.01, 17,763.91 and 6,913.65

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Solution

The fourth proportional to 11,859.01, 17,763.91 and 6,913.65 is: 10,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.01 : 17,763.91 = 6,913.65 : x
  2. Step 2: Convert to fraction form
    11,859.01/17,763.91 = 6,913.65/x
  3. Step 3: Cross multiply
    11,859.01x = 17,763.91 × 6,913.65
  4. Step 4: Simplify right side
    11,859.01x = 122,813,505.70
  5. Step 5: Solve for x
    x = 122,813,505.70/11,859.01
  6. Step 6: Final answer
    x = 10,356.14

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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.