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Finding the Fourth Proportional to 7,148.33, 9,859.43 and 4,910.57

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Solution

The fourth proportional to 7,148.33, 9,859.43 and 4,910.57 is: 6,772.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.33 : 9,859.43 = 4,910.57 : x
  2. Step 2: Convert to fraction form
    7,148.33/9,859.43 = 4,910.57/x
  3. Step 3: Cross multiply
    7,148.33x = 9,859.43 × 4,910.57
  4. Step 4: Simplify right side
    7,148.33x = 48,415,396.62
  5. Step 5: Solve for x
    x = 48,415,396.62/7,148.33
  6. Step 6: Final answer
    x = 6,772.97

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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.