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Finding the Fourth Proportional to 10,212.99, 15,314.45 and 5,997.30

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Solution

The fourth proportional to 10,212.99, 15,314.45 and 5,997.30 is: 8,992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.99 : 15,314.45 = 5,997.30 : x
  2. Step 2: Convert to fraction form
    10,212.99/15,314.45 = 5,997.30/x
  3. Step 3: Cross multiply
    10,212.99x = 15,314.45 × 5,997.30
  4. Step 4: Simplify right side
    10,212.99x = 91,845,321.00
  5. Step 5: Solve for x
    x = 91,845,321.00/10,212.99
  6. Step 6: Final answer
    x = 8,992.99

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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.