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Finding the Fourth Proportional to 6,998.32, 10,472.82 and 4,223.08

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Solution

The fourth proportional to 6,998.32, 10,472.82 and 4,223.08 is: 6,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.32 : 10,472.82 = 4,223.08 : x
  2. Step 2: Convert to fraction form
    6,998.32/10,472.82 = 4,223.08/x
  3. Step 3: Cross multiply
    6,998.32x = 10,472.82 × 4,223.08
  4. Step 4: Simplify right side
    6,998.32x = 44,227,556.69
  5. Step 5: Solve for x
    x = 44,227,556.69/6,998.32
  6. Step 6: Final answer
    x = 6,319.74

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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.