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Finding the Fourth Proportional to 10,238.16, 15,356.16 and 3,311.04

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Solution

The fourth proportional to 10,238.16, 15,356.16 and 3,311.04 is: 4,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.16 : 15,356.16 = 3,311.04 : x
  2. Step 2: Convert to fraction form
    10,238.16/15,356.16 = 3,311.04/x
  3. Step 3: Cross multiply
    10,238.16x = 15,356.16 × 3,311.04
  4. Step 4: Simplify right side
    10,238.16x = 50,844,860.01
  5. Step 5: Solve for x
    x = 50,844,860.01/10,238.16
  6. Step 6: Final answer
    x = 4,966.21

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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.