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Finding the Fourth Proportional to 7,378.65, 10,182.24 and 4,021.39

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Solution

The fourth proportional to 7,378.65, 10,182.24 and 4,021.39 is: 5,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.65 : 10,182.24 = 4,021.39 : x
  2. Step 2: Convert to fraction form
    7,378.65/10,182.24 = 4,021.39/x
  3. Step 3: Cross multiply
    7,378.65x = 10,182.24 × 4,021.39
  4. Step 4: Simplify right side
    7,378.65x = 40,946,758.11
  5. Step 5: Solve for x
    x = 40,946,758.11/7,378.65
  6. Step 6: Final answer
    x = 5,549.36

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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.