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Finding the Fourth Proportional to 6,345.41, 8,760.63 and 4,077.67

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Solution

The fourth proportional to 6,345.41, 8,760.63 and 4,077.67 is: 5,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.41 : 8,760.63 = 4,077.67 : x
  2. Step 2: Convert to fraction form
    6,345.41/8,760.63 = 4,077.67/x
  3. Step 3: Cross multiply
    6,345.41x = 8,760.63 × 4,077.67
  4. Step 4: Simplify right side
    6,345.41x = 35,722,914.33
  5. Step 5: Solve for x
    x = 35,722,914.33/6,345.41
  6. Step 6: Final answer
    x = 5,629.73

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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.