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Finding the Fourth Proportional to 11,412.98, 17,121.87 and 6,484.90

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Solution

The fourth proportional to 11,412.98, 17,121.87 and 6,484.90 is: 9,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.98 : 17,121.87 = 6,484.90 : x
  2. Step 2: Convert to fraction form
    11,412.98/17,121.87 = 6,484.90/x
  3. Step 3: Cross multiply
    11,412.98x = 17,121.87 × 6,484.90
  4. Step 4: Simplify right side
    11,412.98x = 111,033,614.76
  5. Step 5: Solve for x
    x = 111,033,614.76/11,412.98
  6. Step 6: Final answer
    x = 9,728.71

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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.