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Finding the Fourth Proportional to 6,680.88, 10,032.66 and 5,804.46

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Solution

The fourth proportional to 6,680.88, 10,032.66 and 5,804.46 is: 8,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.88 : 10,032.66 = 5,804.46 : x
  2. Step 2: Convert to fraction form
    6,680.88/10,032.66 = 5,804.46/x
  3. Step 3: Cross multiply
    6,680.88x = 10,032.66 × 5,804.46
  4. Step 4: Simplify right side
    6,680.88x = 58,234,173.66
  5. Step 5: Solve for x
    x = 58,234,173.66/6,680.88
  6. Step 6: Final answer
    x = 8,716.54

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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.