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Finding the Fourth Proportional to 7,776.90, 11,670.22 and 5,181.66

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Solution

The fourth proportional to 7,776.90, 11,670.22 and 5,181.66 is: 7,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.90 : 11,670.22 = 5,181.66 : x
  2. Step 2: Convert to fraction form
    7,776.90/11,670.22 = 5,181.66/x
  3. Step 3: Cross multiply
    7,776.90x = 11,670.22 × 5,181.66
  4. Step 4: Simplify right side
    7,776.90x = 60,471,112.17
  5. Step 5: Solve for x
    x = 60,471,112.17/7,776.90
  6. Step 6: Final answer
    x = 7,775.73

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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.