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Finding the Fourth Proportional to 15,211.26, 22,795.49 and 7,197.53

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Solution

The fourth proportional to 15,211.26, 22,795.49 and 7,197.53 is: 10,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.26 : 22,795.49 = 7,197.53 : x
  2. Step 2: Convert to fraction form
    15,211.26/22,795.49 = 7,197.53/x
  3. Step 3: Cross multiply
    15,211.26x = 22,795.49 × 7,197.53
  4. Step 4: Simplify right side
    15,211.26x = 164,071,127.16
  5. Step 5: Solve for x
    x = 164,071,127.16/15,211.26
  6. Step 6: Final answer
    x = 10,786.16

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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.