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Finding the Fourth Proportional to 7,378.78, 10,182.58 and 4,021.62

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Solution

The fourth proportional to 7,378.78, 10,182.58 and 4,021.62 is: 5,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.78 : 10,182.58 = 4,021.62 : x
  2. Step 2: Convert to fraction form
    7,378.78/10,182.58 = 4,021.62/x
  3. Step 3: Cross multiply
    7,378.78x = 10,182.58 × 4,021.62
  4. Step 4: Simplify right side
    7,378.78x = 40,950,467.38
  5. Step 5: Solve for x
    x = 40,950,467.38/7,378.78
  6. Step 6: Final answer
    x = 5,549.76

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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.