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Finding the Fourth Proportional to 10,424.02, 15,628.74 and 5,227.06

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Solution

The fourth proportional to 10,424.02, 15,628.74 and 5,227.06 is: 7,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.02 : 15,628.74 = 5,227.06 : x
  2. Step 2: Convert to fraction form
    10,424.02/15,628.74 = 5,227.06/x
  3. Step 3: Cross multiply
    10,424.02x = 15,628.74 × 5,227.06
  4. Step 4: Simplify right side
    10,424.02x = 81,692,361.70
  5. Step 5: Solve for x
    x = 81,692,361.70/10,424.02
  6. Step 6: Final answer
    x = 7,836.93

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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.