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Finding the Fourth Proportional to 10,133.97, 15,180.57 and 5,052.82

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Solution

The fourth proportional to 10,133.97, 15,180.57 and 5,052.82 is: 7,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.97 : 15,180.57 = 5,052.82 : x
  2. Step 2: Convert to fraction form
    10,133.97/15,180.57 = 5,052.82/x
  3. Step 3: Cross multiply
    10,133.97x = 15,180.57 × 5,052.82
  4. Step 4: Simplify right side
    10,133.97x = 76,704,687.71
  5. Step 5: Solve for x
    x = 76,704,687.71/10,133.97
  6. Step 6: Final answer
    x = 7,569.07

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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.