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Finding the Fourth Proportional to 6,007.41, 8,295.92 and 5,680.17

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Solution

The fourth proportional to 6,007.41, 8,295.92 and 5,680.17 is: 7,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.41 : 8,295.92 = 5,680.17 : x
  2. Step 2: Convert to fraction form
    6,007.41/8,295.92 = 5,680.17/x
  3. Step 3: Cross multiply
    6,007.41x = 8,295.92 × 5,680.17
  4. Step 4: Simplify right side
    6,007.41x = 47,122,235.91
  5. Step 5: Solve for x
    x = 47,122,235.91/6,007.41
  6. Step 6: Final answer
    x = 7,844.02

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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.