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Finding the Fourth Proportional to 10,997.20, 16,499.42 and 7,313.92

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Solution

The fourth proportional to 10,997.20, 16,499.42 and 7,313.92 is: 10,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.20 : 16,499.42 = 7,313.92 : x
  2. Step 2: Convert to fraction form
    10,997.20/16,499.42 = 7,313.92/x
  3. Step 3: Cross multiply
    10,997.20x = 16,499.42 × 7,313.92
  4. Step 4: Simplify right side
    10,997.20x = 120,675,437.93
  5. Step 5: Solve for x
    x = 120,675,437.93/10,997.20
  6. Step 6: Final answer
    x = 10,973.29

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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.