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Finding the Fourth Proportional to 7,452.20, 10,284.03 and 4,095.20

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Solution

The fourth proportional to 7,452.20, 10,284.03 and 4,095.20 is: 5,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.20 : 10,284.03 = 4,095.20 : x
  2. Step 2: Convert to fraction form
    7,452.20/10,284.03 = 4,095.20/x
  3. Step 3: Cross multiply
    7,452.20x = 10,284.03 × 4,095.20
  4. Step 4: Simplify right side
    7,452.20x = 42,115,108.24
  5. Step 5: Solve for x
    x = 42,115,108.24/7,452.20
  6. Step 6: Final answer
    x = 5,651.37

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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.