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Finding the Fourth Proportional to 10,012.69, 13,816.97 and 5,536.18

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Solution

The fourth proportional to 10,012.69, 13,816.97 and 5,536.18 is: 7,639.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.69 : 13,816.97 = 5,536.18 : x
  2. Step 2: Convert to fraction form
    10,012.69/13,816.97 = 5,536.18/x
  3. Step 3: Cross multiply
    10,012.69x = 13,816.97 × 5,536.18
  4. Step 4: Simplify right side
    10,012.69x = 76,493,191.51
  5. Step 5: Solve for x
    x = 76,493,191.51/10,012.69
  6. Step 6: Final answer
    x = 7,639.63

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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.