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Finding the Fourth Proportional to 7,967.70, 11,937.15 and 7,046.10

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Solution

The fourth proportional to 7,967.70, 11,937.15 and 7,046.10 is: 10,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.70 : 11,937.15 = 7,046.10 : x
  2. Step 2: Convert to fraction form
    7,967.70/11,937.15 = 7,046.10/x
  3. Step 3: Cross multiply
    7,967.70x = 11,937.15 × 7,046.10
  4. Step 4: Simplify right side
    7,967.70x = 84,110,352.62
  5. Step 5: Solve for x
    x = 84,110,352.62/7,967.70
  6. Step 6: Final answer
    x = 10,556.42

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