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Finding the Fourth Proportional to 10,012.47, 13,816.47 and 5,536.28

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Solution

The fourth proportional to 10,012.47, 13,816.47 and 5,536.28 is: 7,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.47 : 13,816.47 = 5,536.28 : x
  2. Step 2: Convert to fraction form
    10,012.47/13,816.47 = 5,536.28/x
  3. Step 3: Cross multiply
    10,012.47x = 13,816.47 × 5,536.28
  4. Step 4: Simplify right side
    10,012.47x = 76,491,846.53
  5. Step 5: Solve for x
    x = 76,491,846.53/10,012.47
  6. Step 6: Final answer
    x = 7,639.66

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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.