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Finding the Fourth Proportional to 7,778.16, 10,733.92 and 4,241.30

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Solution

The fourth proportional to 7,778.16, 10,733.92 and 4,241.30 is: 5,853.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.16 : 10,733.92 = 4,241.30 : x
  2. Step 2: Convert to fraction form
    7,778.16/10,733.92 = 4,241.30/x
  3. Step 3: Cross multiply
    7,778.16x = 10,733.92 × 4,241.30
  4. Step 4: Simplify right side
    7,778.16x = 45,525,710.62
  5. Step 5: Solve for x
    x = 45,525,710.62/7,778.16
  6. Step 6: Final answer
    x = 5,853.02

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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.