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Finding the Fourth Proportional to 11,851.92, 16,356.33 and 7,136.91

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Solution

The fourth proportional to 11,851.92, 16,356.33 and 7,136.91 is: 9,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.92 : 16,356.33 = 7,136.91 : x
  2. Step 2: Convert to fraction form
    11,851.92/16,356.33 = 7,136.91/x
  3. Step 3: Cross multiply
    11,851.92x = 16,356.33 × 7,136.91
  4. Step 4: Simplify right side
    11,851.92x = 116,733,655.14
  5. Step 5: Solve for x
    x = 116,733,655.14/11,851.92
  6. Step 6: Final answer
    x = 9,849.35

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