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Finding the Fourth Proportional to 10,697.01, 16,042.10 and 3,675.33

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Solution

The fourth proportional to 10,697.01, 16,042.10 and 3,675.33 is: 5,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.01 : 16,042.10 = 3,675.33 : x
  2. Step 2: Convert to fraction form
    10,697.01/16,042.10 = 3,675.33/x
  3. Step 3: Cross multiply
    10,697.01x = 16,042.10 × 3,675.33
  4. Step 4: Simplify right side
    10,697.01x = 58,960,011.39
  5. Step 5: Solve for x
    x = 58,960,011.39/10,697.01
  6. Step 6: Final answer
    x = 5,511.82

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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.