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Finding the Fourth Proportional to 10,154.06, 15,231 and 2,758.52

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Solution

The fourth proportional to 10,154.06, 15,231 and 2,758.52 is: 4,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.06 : 15,231 = 2,758.52 : x
  2. Step 2: Convert to fraction form
    10,154.06/15,231 = 2,758.52/x
  3. Step 3: Cross multiply
    10,154.06x = 15,231 × 2,758.52
  4. Step 4: Simplify right side
    10,154.06x = 42,015,018.12
  5. Step 5: Solve for x
    x = 42,015,018.12/10,154.06
  6. Step 6: Final answer
    x = 4,137.76

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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.