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Finding the Fourth Proportional to 7,736.18, 11,578.61 and 7,044.44

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Solution

The fourth proportional to 7,736.18, 11,578.61 and 7,044.44 is: 10,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.18 : 11,578.61 = 7,044.44 : x
  2. Step 2: Convert to fraction form
    7,736.18/11,578.61 = 7,044.44/x
  3. Step 3: Cross multiply
    7,736.18x = 11,578.61 × 7,044.44
  4. Step 4: Simplify right side
    7,736.18x = 81,564,823.43
  5. Step 5: Solve for x
    x = 81,564,823.43/7,736.18
  6. Step 6: Final answer
    x = 10,543.29

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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.