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Finding the Fourth Proportional to 7,778.17, 10,733.82 and 4,241.32

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Solution

The fourth proportional to 7,778.17, 10,733.82 and 4,241.32 is: 5,852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.17 : 10,733.82 = 4,241.32 : x
  2. Step 2: Convert to fraction form
    7,778.17/10,733.82 = 4,241.32/x
  3. Step 3: Cross multiply
    7,778.17x = 10,733.82 × 4,241.32
  4. Step 4: Simplify right side
    7,778.17x = 45,525,565.44
  5. Step 5: Solve for x
    x = 45,525,565.44/7,778.17
  6. Step 6: Final answer
    x = 5,852.99

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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.