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Finding the Fourth Proportional to 6,186.78, 8,522.01 and 5,778.54

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Solution

The fourth proportional to 6,186.78, 8,522.01 and 5,778.54 is: 7,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.78 : 8,522.01 = 5,778.54 : x
  2. Step 2: Convert to fraction form
    6,186.78/8,522.01 = 5,778.54/x
  3. Step 3: Cross multiply
    6,186.78x = 8,522.01 × 5,778.54
  4. Step 4: Simplify right side
    6,186.78x = 49,244,775.67
  5. Step 5: Solve for x
    x = 49,244,775.67/6,186.78
  6. Step 6: Final answer
    x = 7,959.68

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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.