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Finding the Fourth Proportional to 7,841.76, 11,764.24 and 2,647.52

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Solution

The fourth proportional to 7,841.76, 11,764.24 and 2,647.52 is: 3,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.76 : 11,764.24 = 2,647.52 : x
  2. Step 2: Convert to fraction form
    7,841.76/11,764.24 = 2,647.52/x
  3. Step 3: Cross multiply
    7,841.76x = 11,764.24 × 2,647.52
  4. Step 4: Simplify right side
    7,841.76x = 31,146,060.68
  5. Step 5: Solve for x
    x = 31,146,060.68/7,841.76
  6. Step 6: Final answer
    x = 3,971.82

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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.