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Finding the Fourth Proportional to 7,357.38, 10,153.22 and 4,000.22

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Solution

The fourth proportional to 7,357.38, 10,153.22 and 4,000.22 is: 5,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.38 : 10,153.22 = 4,000.22 : x
  2. Step 2: Convert to fraction form
    7,357.38/10,153.22 = 4,000.22/x
  3. Step 3: Cross multiply
    7,357.38x = 10,153.22 × 4,000.22
  4. Step 4: Simplify right side
    7,357.38x = 40,615,042.94
  5. Step 5: Solve for x
    x = 40,615,042.94/7,357.38
  6. Step 6: Final answer
    x = 5,520.32

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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.