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Finding the Fourth Proportional to 11,017.65, 15,224.07 and 8,196.42

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Solution

The fourth proportional to 11,017.65, 15,224.07 and 8,196.42 is: 11,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.65 : 15,224.07 = 8,196.42 : x
  2. Step 2: Convert to fraction form
    11,017.65/15,224.07 = 8,196.42/x
  3. Step 3: Cross multiply
    11,017.65x = 15,224.07 × 8,196.42
  4. Step 4: Simplify right side
    11,017.65x = 124,782,871.83
  5. Step 5: Solve for x
    x = 124,782,871.83/11,017.65
  6. Step 6: Final answer
    x = 11,325.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.