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Finding the Fourth Proportional to 10,467.90, 15,682.41 and 6,998.94

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Solution

The fourth proportional to 10,467.90, 15,682.41 and 6,998.94 is: 10,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.90 : 15,682.41 = 6,998.94 : x
  2. Step 2: Convert to fraction form
    10,467.90/15,682.41 = 6,998.94/x
  3. Step 3: Cross multiply
    10,467.90x = 15,682.41 × 6,998.94
  4. Step 4: Simplify right side
    10,467.90x = 109,760,246.65
  5. Step 5: Solve for x
    x = 109,760,246.65/10,467.90
  6. Step 6: Final answer
    x = 10,485.41

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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.