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Finding the Fourth Proportional to 6,937.49, 10,404.68 and 2,006.03

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Solution

The fourth proportional to 6,937.49, 10,404.68 and 2,006.03 is: 3,008.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.49 : 10,404.68 = 2,006.03 : x
  2. Step 2: Convert to fraction form
    6,937.49/10,404.68 = 2,006.03/x
  3. Step 3: Cross multiply
    6,937.49x = 10,404.68 × 2,006.03
  4. Step 4: Simplify right side
    6,937.49x = 20,872,038.17
  5. Step 5: Solve for x
    x = 20,872,038.17/6,937.49
  6. Step 6: Final answer
    x = 3,008.59

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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.