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Finding the Fourth Proportional to 7,374, 10,176.12 and 4,062

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Solution

The fourth proportional to 7,374, 10,176.12 and 4,062 is: 5,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374 : 10,176.12 = 4,062 : x
  2. Step 2: Convert to fraction form
    7,374/10,176.12 = 4,062/x
  3. Step 3: Cross multiply
    7,374x = 10,176.12 × 4,062
  4. Step 4: Simplify right side
    7,374x = 41,335,399.44
  5. Step 5: Solve for x
    x = 41,335,399.44/7,374
  6. Step 6: Final answer
    x = 5,605.56

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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.