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Finding the Fourth Proportional to 7,411.67, 10,227.81 and 4,054.40

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Solution

The fourth proportional to 7,411.67, 10,227.81 and 4,054.40 is: 5,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.67 : 10,227.81 = 4,054.40 : x
  2. Step 2: Convert to fraction form
    7,411.67/10,227.81 = 4,054.40/x
  3. Step 3: Cross multiply
    7,411.67x = 10,227.81 × 4,054.40
  4. Step 4: Simplify right side
    7,411.67x = 41,467,625.24
  5. Step 5: Solve for x
    x = 41,467,625.24/7,411.67
  6. Step 6: Final answer
    x = 5,594.91

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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.