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Finding the Fourth Proportional to 10,297.49, 15,448.83 and 4,754.72

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Solution

The fourth proportional to 10,297.49, 15,448.83 and 4,754.72 is: 7,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.49 : 15,448.83 = 4,754.72 : x
  2. Step 2: Convert to fraction form
    10,297.49/15,448.83 = 4,754.72/x
  3. Step 3: Cross multiply
    10,297.49x = 15,448.83 × 4,754.72
  4. Step 4: Simplify right side
    10,297.49x = 73,454,860.98
  5. Step 5: Solve for x
    x = 73,454,860.98/10,297.49
  6. Step 6: Final answer
    x = 7,133.28

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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.