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Finding the Fourth Proportional to 5,826.06, 8,095.82 and 5,766.12

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Solution

The fourth proportional to 5,826.06, 8,095.82 and 5,766.12 is: 8,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.06 : 8,095.82 = 5,766.12 : x
  2. Step 2: Convert to fraction form
    5,826.06/8,095.82 = 5,766.12/x
  3. Step 3: Cross multiply
    5,826.06x = 8,095.82 × 5,766.12
  4. Step 4: Simplify right side
    5,826.06x = 46,681,440.79
  5. Step 5: Solve for x
    x = 46,681,440.79/5,826.06
  6. Step 6: Final answer
    x = 8,012.52

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.