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Finding the Fourth Proportional to 7,091.40, 10,641.90 and 4,166.60

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Solution

The fourth proportional to 7,091.40, 10,641.90 and 4,166.60 is: 6,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.40 : 10,641.90 = 4,166.60 : x
  2. Step 2: Convert to fraction form
    7,091.40/10,641.90 = 4,166.60/x
  3. Step 3: Cross multiply
    7,091.40x = 10,641.90 × 4,166.60
  4. Step 4: Simplify right side
    7,091.40x = 44,340,540.54
  5. Step 5: Solve for x
    x = 44,340,540.54/7,091.40
  6. Step 6: Final answer
    x = 6,252.72

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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.