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Finding the Fourth Proportional to 7,074.34, 10,613.10 and 2,394.08

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Solution

The fourth proportional to 7,074.34, 10,613.10 and 2,394.08 is: 3,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.34 : 10,613.10 = 2,394.08 : x
  2. Step 2: Convert to fraction form
    7,074.34/10,613.10 = 2,394.08/x
  3. Step 3: Cross multiply
    7,074.34x = 10,613.10 × 2,394.08
  4. Step 4: Simplify right side
    7,074.34x = 25,408,629.28
  5. Step 5: Solve for x
    x = 25,408,629.28/7,074.34
  6. Step 6: Final answer
    x = 3,591.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.