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Finding the Fourth Proportional to 6,957.34, 10,433.84 and 2,276.28

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Solution

The fourth proportional to 6,957.34, 10,433.84 and 2,276.28 is: 3,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.34 : 10,433.84 = 2,276.28 : x
  2. Step 2: Convert to fraction form
    6,957.34/10,433.84 = 2,276.28/x
  3. Step 3: Cross multiply
    6,957.34x = 10,433.84 × 2,276.28
  4. Step 4: Simplify right side
    6,957.34x = 23,750,341.32
  5. Step 5: Solve for x
    x = 23,750,341.32/6,957.34
  6. Step 6: Final answer
    x = 3,413.71

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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.