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Finding the Fourth Proportional to 6,927.82, 10,390.11 and 3,416.20

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Solution

The fourth proportional to 6,927.82, 10,390.11 and 3,416.20 is: 5,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.82 : 10,390.11 = 3,416.20 : x
  2. Step 2: Convert to fraction form
    6,927.82/10,390.11 = 3,416.20/x
  3. Step 3: Cross multiply
    6,927.82x = 10,390.11 × 3,416.20
  4. Step 4: Simplify right side
    6,927.82x = 35,494,693.78
  5. Step 5: Solve for x
    x = 35,494,693.78/6,927.82
  6. Step 6: Final answer
    x = 5,123.50

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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.