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Finding the Fourth Proportional to 7,378.53, 10,182.24 and 4,021.38

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Solution

The fourth proportional to 7,378.53, 10,182.24 and 4,021.38 is: 5,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.53 : 10,182.24 = 4,021.38 : x
  2. Step 2: Convert to fraction form
    7,378.53/10,182.24 = 4,021.38/x
  3. Step 3: Cross multiply
    7,378.53x = 10,182.24 × 4,021.38
  4. Step 4: Simplify right side
    7,378.53x = 40,946,656.29
  5. Step 5: Solve for x
    x = 40,946,656.29/7,378.53
  6. Step 6: Final answer
    x = 5,549.43

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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.