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Finding the Fourth Proportional to 10,536.16, 15,806.99 and 5,270.96

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Solution

The fourth proportional to 10,536.16, 15,806.99 and 5,270.96 is: 7,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.16 : 15,806.99 = 5,270.96 : x
  2. Step 2: Convert to fraction form
    10,536.16/15,806.99 = 5,270.96/x
  3. Step 3: Cross multiply
    10,536.16x = 15,806.99 × 5,270.96
  4. Step 4: Simplify right side
    10,536.16x = 83,317,906.62
  5. Step 5: Solve for x
    x = 83,317,906.62/10,536.16
  6. Step 6: Final answer
    x = 7,907.81

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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.