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Finding the Fourth Proportional to 7,778.97, 10,735.61 and 4,375.76

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Solution

The fourth proportional to 7,778.97, 10,735.61 and 4,375.76 is: 6,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.97 : 10,735.61 = 4,375.76 : x
  2. Step 2: Convert to fraction form
    7,778.97/10,735.61 = 4,375.76/x
  3. Step 3: Cross multiply
    7,778.97x = 10,735.61 × 4,375.76
  4. Step 4: Simplify right side
    7,778.97x = 46,976,377.26
  5. Step 5: Solve for x
    x = 46,976,377.26/7,778.97
  6. Step 6: Final answer
    x = 6,038.89

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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.