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Finding the Fourth Proportional to 6,693.84, 10,042.04 and 2,311.12

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Solution

The fourth proportional to 6,693.84, 10,042.04 and 2,311.12 is: 3,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.84 : 10,042.04 = 2,311.12 : x
  2. Step 2: Convert to fraction form
    6,693.84/10,042.04 = 2,311.12/x
  3. Step 3: Cross multiply
    6,693.84x = 10,042.04 × 2,311.12
  4. Step 4: Simplify right side
    6,693.84x = 23,208,359.48
  5. Step 5: Solve for x
    x = 23,208,359.48/6,693.84
  6. Step 6: Final answer
    x = 3,467.12

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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.