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Finding the Fourth Proportional to 10,997.02, 16,492.80 and 4,993.71

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Solution

The fourth proportional to 10,997.02, 16,492.80 and 4,993.71 is: 7,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.02 : 16,492.80 = 4,993.71 : x
  2. Step 2: Convert to fraction form
    10,997.02/16,492.80 = 4,993.71/x
  3. Step 3: Cross multiply
    10,997.02x = 16,492.80 × 4,993.71
  4. Step 4: Simplify right side
    10,997.02x = 82,360,260.29
  5. Step 5: Solve for x
    x = 82,360,260.29/10,997.02
  6. Step 6: Final answer
    x = 7,489.33

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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.