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Finding the Fourth Proportional to 7,379.76, 10,184.04 and 4,022.76

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Solution

The fourth proportional to 7,379.76, 10,184.04 and 4,022.76 is: 5,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,379.76 : 10,184.04 = 4,022.76 : x
  2. Step 2: Convert to fraction form
    7,379.76/10,184.04 = 4,022.76/x
  3. Step 3: Cross multiply
    7,379.76x = 10,184.04 × 4,022.76
  4. Step 4: Simplify right side
    7,379.76x = 40,967,948.75
  5. Step 5: Solve for x
    x = 40,967,948.75/7,379.76
  6. Step 6: Final answer
    x = 5,551.39

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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.