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Finding the Fourth Proportional to 11,529, 17,325.99 and 6,849.90

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Solution

The fourth proportional to 11,529, 17,325.99 and 6,849.90 is: 10,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529 : 17,325.99 = 6,849.90 : x
  2. Step 2: Convert to fraction form
    11,529/17,325.99 = 6,849.90/x
  3. Step 3: Cross multiply
    11,529x = 17,325.99 × 6,849.90
  4. Step 4: Simplify right side
    11,529x = 118,681,298.90
  5. Step 5: Solve for x
    x = 118,681,298.90/11,529
  6. Step 6: Final answer
    x = 10,294.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.