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Finding the Fourth Proportional to 10,154.37, 15,238.04 and 3,919.41

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Solution

The fourth proportional to 10,154.37, 15,238.04 and 3,919.41 is: 5,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.37 : 15,238.04 = 3,919.41 : x
  2. Step 2: Convert to fraction form
    10,154.37/15,238.04 = 3,919.41/x
  3. Step 3: Cross multiply
    10,154.37x = 15,238.04 × 3,919.41
  4. Step 4: Simplify right side
    10,154.37x = 59,724,126.36
  5. Step 5: Solve for x
    x = 59,724,126.36/10,154.37
  6. Step 6: Final answer
    x = 5,881.62

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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.