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Finding the Fourth Proportional to 10,694.01, 16,026.44 and 6,535.47

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Solution

The fourth proportional to 10,694.01, 16,026.44 and 6,535.47 is: 9,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.01 : 16,026.44 = 6,535.47 : x
  2. Step 2: Convert to fraction form
    10,694.01/16,026.44 = 6,535.47/x
  3. Step 3: Cross multiply
    10,694.01x = 16,026.44 × 6,535.47
  4. Step 4: Simplify right side
    10,694.01x = 104,740,285.15
  5. Step 5: Solve for x
    x = 104,740,285.15/10,694.01
  6. Step 6: Final answer
    x = 9,794.29

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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.