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Finding the Fourth Proportional to 7,072.70, 10,613.10 and 2,693.30

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Solution

The fourth proportional to 7,072.70, 10,613.10 and 2,693.30 is: 4,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.70 : 10,613.10 = 2,693.30 : x
  2. Step 2: Convert to fraction form
    7,072.70/10,613.10 = 2,693.30/x
  3. Step 3: Cross multiply
    7,072.70x = 10,613.10 × 2,693.30
  4. Step 4: Simplify right side
    7,072.70x = 28,584,262.23
  5. Step 5: Solve for x
    x = 28,584,262.23/7,072.70
  6. Step 6: Final answer
    x = 4,041.49

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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.