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Finding the Fourth Proportional to 7,411.94, 10,229.39 and 4,427.76

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Solution

The fourth proportional to 7,411.94, 10,229.39 and 4,427.76 is: 6,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.94 : 10,229.39 = 4,427.76 : x
  2. Step 2: Convert to fraction form
    7,411.94/10,229.39 = 4,427.76/x
  3. Step 3: Cross multiply
    7,411.94x = 10,229.39 × 4,427.76
  4. Step 4: Simplify right side
    7,411.94x = 45,293,261.73
  5. Step 5: Solve for x
    x = 45,293,261.73/7,411.94
  6. Step 6: Final answer
    x = 6,110.86

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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.