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Finding the Fourth Proportional to 7,411.78, 10,229.49 and 4,267.30

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Solution

The fourth proportional to 7,411.78, 10,229.49 and 4,267.30 is: 5,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.78 : 10,229.49 = 4,267.30 : x
  2. Step 2: Convert to fraction form
    7,411.78/10,229.49 = 4,267.30/x
  3. Step 3: Cross multiply
    7,411.78x = 10,229.49 × 4,267.30
  4. Step 4: Simplify right side
    7,411.78x = 43,652,302.68
  5. Step 5: Solve for x
    x = 43,652,302.68/7,411.78
  6. Step 6: Final answer
    x = 5,889.58

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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.