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Finding the Fourth Proportional to 6,680.78, 9,216.99 and 5,148.16

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Solution

The fourth proportional to 6,680.78, 9,216.99 and 5,148.16 is: 7,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.78 : 9,216.99 = 5,148.16 : x
  2. Step 2: Convert to fraction form
    6,680.78/9,216.99 = 5,148.16/x
  3. Step 3: Cross multiply
    6,680.78x = 9,216.99 × 5,148.16
  4. Step 4: Simplify right side
    6,680.78x = 47,450,516.20
  5. Step 5: Solve for x
    x = 47,450,516.20/6,680.78
  6. Step 6: Final answer
    x = 7,102.54

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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.