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Finding the Fourth Proportional to 6,304.24, 8,680.14 and 5,358.16

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Solution

The fourth proportional to 6,304.24, 8,680.14 and 5,358.16 is: 7,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.24 : 8,680.14 = 5,358.16 : x
  2. Step 2: Convert to fraction form
    6,304.24/8,680.14 = 5,358.16/x
  3. Step 3: Cross multiply
    6,304.24x = 8,680.14 × 5,358.16
  4. Step 4: Simplify right side
    6,304.24x = 46,509,578.94
  5. Step 5: Solve for x
    x = 46,509,578.94/6,304.24
  6. Step 6: Final answer
    x = 7,377.51

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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.