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Finding the Fourth Proportional to 11,122, 15,341.07 and 7,136.80

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Solution

The fourth proportional to 11,122, 15,341.07 and 7,136.80 is: 9,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122 : 15,341.07 = 7,136.80 : x
  2. Step 2: Convert to fraction form
    11,122/15,341.07 = 7,136.80/x
  3. Step 3: Cross multiply
    11,122x = 15,341.07 × 7,136.80
  4. Step 4: Simplify right side
    11,122x = 109,486,148.38
  5. Step 5: Solve for x
    x = 109,486,148.38/11,122
  6. Step 6: Final answer
    x = 9,844.11

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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.