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Finding the Fourth Proportional to 7,778.56, 11,665.94 and 2,230.60

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Solution

The fourth proportional to 7,778.56, 11,665.94 and 2,230.60 is: 3,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.56 : 11,665.94 = 2,230.60 : x
  2. Step 2: Convert to fraction form
    7,778.56/11,665.94 = 2,230.60/x
  3. Step 3: Cross multiply
    7,778.56x = 11,665.94 × 2,230.60
  4. Step 4: Simplify right side
    7,778.56x = 26,022,045.76
  5. Step 5: Solve for x
    x = 26,022,045.76/7,778.56
  6. Step 6: Final answer
    x = 3,345.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.