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Finding the Fourth Proportional to 10,998.42, 15,175.74 and 6,520.54

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Solution

The fourth proportional to 10,998.42, 15,175.74 and 6,520.54 is: 8,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.42 : 15,175.74 = 6,520.54 : x
  2. Step 2: Convert to fraction form
    10,998.42/15,175.74 = 6,520.54/x
  3. Step 3: Cross multiply
    10,998.42x = 15,175.74 × 6,520.54
  4. Step 4: Simplify right side
    10,998.42x = 98,954,019.70
  5. Step 5: Solve for x
    x = 98,954,019.70/10,998.42
  6. Step 6: Final answer
    x = 8,997.11

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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.