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Finding the Fourth Proportional to 10,997.91, 15,162.84 and 7,012.10

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Solution

The fourth proportional to 10,997.91, 15,162.84 and 7,012.10 is: 9,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.91 : 15,162.84 = 7,012.10 : x
  2. Step 2: Convert to fraction form
    10,997.91/15,162.84 = 7,012.10/x
  3. Step 3: Cross multiply
    10,997.91x = 15,162.84 × 7,012.10
  4. Step 4: Simplify right side
    10,997.91x = 106,323,388.27
  5. Step 5: Solve for x
    x = 106,323,388.27/10,997.91
  6. Step 6: Final answer
    x = 9,667.60

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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.