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Finding the Fourth Proportional to 7,842.32, 11,763.96 and 2,647.76

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Solution

The fourth proportional to 7,842.32, 11,763.96 and 2,647.76 is: 3,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.32 : 11,763.96 = 2,647.76 : x
  2. Step 2: Convert to fraction form
    7,842.32/11,763.96 = 2,647.76/x
  3. Step 3: Cross multiply
    7,842.32x = 11,763.96 × 2,647.76
  4. Step 4: Simplify right side
    7,842.32x = 31,148,142.73
  5. Step 5: Solve for x
    x = 31,148,142.73/7,842.32
  6. Step 6: Final answer
    x = 3,971.80

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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.