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Finding the Fourth Proportional to 7,072.34, 10,608.42 and 3,177.86

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Solution

The fourth proportional to 7,072.34, 10,608.42 and 3,177.86 is: 4,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.34 : 10,608.42 = 3,177.86 : x
  2. Step 2: Convert to fraction form
    7,072.34/10,608.42 = 3,177.86/x
  3. Step 3: Cross multiply
    7,072.34x = 10,608.42 × 3,177.86
  4. Step 4: Simplify right side
    7,072.34x = 33,712,073.58
  5. Step 5: Solve for x
    x = 33,712,073.58/7,072.34
  6. Step 6: Final answer
    x = 4,766.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.