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Finding the Fourth Proportional to 7,324, 10,107.12 and 4,012

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Solution

The fourth proportional to 7,324, 10,107.12 and 4,012 is: 5,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324 : 10,107.12 = 4,012 : x
  2. Step 2: Convert to fraction form
    7,324/10,107.12 = 4,012/x
  3. Step 3: Cross multiply
    7,324x = 10,107.12 × 4,012
  4. Step 4: Simplify right side
    7,324x = 40,549,765.44
  5. Step 5: Solve for x
    x = 40,549,765.44/7,324
  6. Step 6: Final answer
    x = 5,536.56

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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.