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Finding the Fourth Proportional to 7,411.16, 10,226.99 and 4,053.38

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Solution

The fourth proportional to 7,411.16, 10,226.99 and 4,053.38 is: 5,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.16 : 10,226.99 = 4,053.38 : x
  2. Step 2: Convert to fraction form
    7,411.16/10,226.99 = 4,053.38/x
  3. Step 3: Cross multiply
    7,411.16x = 10,226.99 × 4,053.38
  4. Step 4: Simplify right side
    7,411.16x = 41,453,835.72
  5. Step 5: Solve for x
    x = 41,453,835.72/7,411.16
  6. Step 6: Final answer
    x = 5,593.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.