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Finding the Fourth Proportional to 7,778.83, 10,735.92 and 4,420.99

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Solution

The fourth proportional to 7,778.83, 10,735.92 and 4,420.99 is: 6,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.83 : 10,735.92 = 4,420.99 : x
  2. Step 2: Convert to fraction form
    7,778.83/10,735.92 = 4,420.99/x
  3. Step 3: Cross multiply
    7,778.83x = 10,735.92 × 4,420.99
  4. Step 4: Simplify right side
    7,778.83x = 47,463,394.96
  5. Step 5: Solve for x
    x = 47,463,394.96/7,778.83
  6. Step 6: Final answer
    x = 6,101.61

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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.