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Finding the Fourth Proportional to 10,997.66, 15,173.20 and 6,217.14

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Solution

The fourth proportional to 10,997.66, 15,173.20 and 6,217.14 is: 8,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.66 : 15,173.20 = 6,217.14 : x
  2. Step 2: Convert to fraction form
    10,997.66/15,173.20 = 6,217.14/x
  3. Step 3: Cross multiply
    10,997.66x = 15,173.20 × 6,217.14
  4. Step 4: Simplify right side
    10,997.66x = 94,333,870.48
  5. Step 5: Solve for x
    x = 94,333,870.48/10,997.66
  6. Step 6: Final answer
    x = 8,577.63

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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.