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Finding the Fourth Proportional to 10,997.66, 15,174.15 and 6,217.70

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Solution

The fourth proportional to 10,997.66, 15,174.15 and 6,217.70 is: 8,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.66 : 15,174.15 = 6,217.70 : x
  2. Step 2: Convert to fraction form
    10,997.66/15,174.15 = 6,217.70/x
  3. Step 3: Cross multiply
    10,997.66x = 15,174.15 × 6,217.70
  4. Step 4: Simplify right side
    10,997.66x = 94,348,312.46
  5. Step 5: Solve for x
    x = 94,348,312.46/10,997.66
  6. Step 6: Final answer
    x = 8,578.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.