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Finding the Fourth Proportional to 7,060.89, 9,743.70 and 3,874.11

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Solution

The fourth proportional to 7,060.89, 9,743.70 and 3,874.11 is: 5,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,060.89 : 9,743.70 = 3,874.11 : x
  2. Step 2: Convert to fraction form
    7,060.89/9,743.70 = 3,874.11/x
  3. Step 3: Cross multiply
    7,060.89x = 9,743.70 × 3,874.11
  4. Step 4: Simplify right side
    7,060.89x = 37,748,171.16
  5. Step 5: Solve for x
    x = 37,748,171.16/7,060.89
  6. Step 6: Final answer
    x = 5,346.09

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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.