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Finding the Fourth Proportional to 10,997.80, 16,492.86 and 5,157.16

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Solution

The fourth proportional to 10,997.80, 16,492.86 and 5,157.16 is: 7,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.80 : 16,492.86 = 5,157.16 : x
  2. Step 2: Convert to fraction form
    10,997.80/16,492.86 = 5,157.16/x
  3. Step 3: Cross multiply
    10,997.80x = 16,492.86 × 5,157.16
  4. Step 4: Simplify right side
    10,997.80x = 85,056,317.88
  5. Step 5: Solve for x
    x = 85,056,317.88/10,997.80
  6. Step 6: Final answer
    x = 7,733.94

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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.