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Finding the Fourth Proportional to 7,452.27, 10,284.17 and 4,095.16

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Solution

The fourth proportional to 7,452.27, 10,284.17 and 4,095.16 is: 5,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.27 : 10,284.17 = 4,095.16 : x
  2. Step 2: Convert to fraction form
    7,452.27/10,284.17 = 4,095.16/x
  3. Step 3: Cross multiply
    7,452.27x = 10,284.17 × 4,095.16
  4. Step 4: Simplify right side
    7,452.27x = 42,115,275.43
  5. Step 5: Solve for x
    x = 42,115,275.43/7,452.27
  6. Step 6: Final answer
    x = 5,651.34

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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.