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Finding the Fourth Proportional to 10,513.53, 15,737.49 and 7,743.33

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Solution

The fourth proportional to 10,513.53, 15,737.49 and 7,743.33 is: 11,590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.53 : 15,737.49 = 7,743.33 : x
  2. Step 2: Convert to fraction form
    10,513.53/15,737.49 = 7,743.33/x
  3. Step 3: Cross multiply
    10,513.53x = 15,737.49 × 7,743.33
  4. Step 4: Simplify right side
    10,513.53x = 121,860,578.44
  5. Step 5: Solve for x
    x = 121,860,578.44/10,513.53
  6. Step 6: Final answer
    x = 11,590.83

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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.