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Finding the Fourth Proportional to 7,471.27, 10,309.94 and 4,113.95

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Solution

The fourth proportional to 7,471.27, 10,309.94 and 4,113.95 is: 5,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.27 : 10,309.94 = 4,113.95 : x
  2. Step 2: Convert to fraction form
    7,471.27/10,309.94 = 4,113.95/x
  3. Step 3: Cross multiply
    7,471.27x = 10,309.94 × 4,113.95
  4. Step 4: Simplify right side
    7,471.27x = 42,414,577.66
  5. Step 5: Solve for x
    x = 42,414,577.66/7,471.27
  6. Step 6: Final answer
    x = 5,677.02

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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.