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Finding the Fourth Proportional to 11,240.76, 16,842.69 and 3,841.20

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Solution

The fourth proportional to 11,240.76, 16,842.69 and 3,841.20 is: 5,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,240.76 : 16,842.69 = 3,841.20 : x
  2. Step 2: Convert to fraction form
    11,240.76/16,842.69 = 3,841.20/x
  3. Step 3: Cross multiply
    11,240.76x = 16,842.69 × 3,841.20
  4. Step 4: Simplify right side
    11,240.76x = 64,696,140.83
  5. Step 5: Solve for x
    x = 64,696,140.83/11,240.76
  6. Step 6: Final answer
    x = 5,755.50

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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.