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Finding the Fourth Proportional to 10,238.62, 15,346.86 and 4,962.49

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Solution

The fourth proportional to 10,238.62, 15,346.86 and 4,962.49 is: 7,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.62 : 15,346.86 = 4,962.49 : x
  2. Step 2: Convert to fraction form
    10,238.62/15,346.86 = 4,962.49/x
  3. Step 3: Cross multiply
    10,238.62x = 15,346.86 × 4,962.49
  4. Step 4: Simplify right side
    10,238.62x = 76,158,639.28
  5. Step 5: Solve for x
    x = 76,158,639.28/10,238.62
  6. Step 6: Final answer
    x = 7,438.37

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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.