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Finding the Fourth Proportional to 10,693.76, 16,042.02 and 4,121.82

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Solution

The fourth proportional to 10,693.76, 16,042.02 and 4,121.82 is: 6,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.76 : 16,042.02 = 4,121.82 : x
  2. Step 2: Convert to fraction form
    10,693.76/16,042.02 = 4,121.82/x
  3. Step 3: Cross multiply
    10,693.76x = 16,042.02 × 4,121.82
  4. Step 4: Simplify right side
    10,693.76x = 66,122,303.42
  5. Step 5: Solve for x
    x = 66,122,303.42/10,693.76
  6. Step 6: Final answer
    x = 6,183.26

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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.