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Finding the Fourth Proportional to 8,548.48, 11,784 and 6,682.24

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Solution

The fourth proportional to 8,548.48, 11,784 and 6,682.24 is: 9,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.48 : 11,784 = 6,682.24 : x
  2. Step 2: Convert to fraction form
    8,548.48/11,784 = 6,682.24/x
  3. Step 3: Cross multiply
    8,548.48x = 11,784 × 6,682.24
  4. Step 4: Simplify right side
    8,548.48x = 78,743,516.16
  5. Step 5: Solve for x
    x = 78,743,516.16/8,548.48
  6. Step 6: Final answer
    x = 9,211.41

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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.