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Finding the Fourth Proportional to 8,635.76, 11,920.96 and 5,842.88

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Solution

The fourth proportional to 8,635.76, 11,920.96 and 5,842.88 is: 8,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.76 : 11,920.96 = 5,842.88 : x
  2. Step 2: Convert to fraction form
    8,635.76/11,920.96 = 5,842.88/x
  3. Step 3: Cross multiply
    8,635.76x = 11,920.96 × 5,842.88
  4. Step 4: Simplify right side
    8,635.76x = 69,652,738.76
  5. Step 5: Solve for x
    x = 69,652,738.76/8,635.76
  6. Step 6: Final answer
    x = 8,065.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.