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Finding the Fourth Proportional to 11,043.92, 16,544 and 7,151.06

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Solution

The fourth proportional to 11,043.92, 16,544 and 7,151.06 is: 10,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,043.92 : 16,544 = 7,151.06 : x
  2. Step 2: Convert to fraction form
    11,043.92/16,544 = 7,151.06/x
  3. Step 3: Cross multiply
    11,043.92x = 16,544 × 7,151.06
  4. Step 4: Simplify right side
    11,043.92x = 118,307,136.64
  5. Step 5: Solve for x
    x = 118,307,136.64/11,043.92
  6. Step 6: Final answer
    x = 10,712.42

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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.