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Finding the Fourth Proportional to 10,153.82, 15,231.03 and 2,758.24

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Solution

The fourth proportional to 10,153.82, 15,231.03 and 2,758.24 is: 4,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.82 : 15,231.03 = 2,758.24 : x
  2. Step 2: Convert to fraction form
    10,153.82/15,231.03 = 2,758.24/x
  3. Step 3: Cross multiply
    10,153.82x = 15,231.03 × 2,758.24
  4. Step 4: Simplify right side
    10,153.82x = 42,010,836.19
  5. Step 5: Solve for x
    x = 42,010,836.19/10,153.82
  6. Step 6: Final answer
    x = 4,137.44

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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.