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Finding the Fourth Proportional to 7,566.56, 11,342.85 and 4,059

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Solution

The fourth proportional to 7,566.56, 11,342.85 and 4,059 is: 6,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.56 : 11,342.85 = 4,059 : x
  2. Step 2: Convert to fraction form
    7,566.56/11,342.85 = 4,059/x
  3. Step 3: Cross multiply
    7,566.56x = 11,342.85 × 4,059
  4. Step 4: Simplify right side
    7,566.56x = 46,040,628.15
  5. Step 5: Solve for x
    x = 46,040,628.15/7,566.56
  6. Step 6: Final answer
    x = 6,084.75

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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.