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Finding the Fourth Proportional to 10,163.76, 15,248.07 and 3,589.40

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Solution

The fourth proportional to 10,163.76, 15,248.07 and 3,589.40 is: 5,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.76 : 15,248.07 = 3,589.40 : x
  2. Step 2: Convert to fraction form
    10,163.76/15,248.07 = 3,589.40/x
  3. Step 3: Cross multiply
    10,163.76x = 15,248.07 × 3,589.40
  4. Step 4: Simplify right side
    10,163.76x = 54,731,346.22
  5. Step 5: Solve for x
    x = 54,731,346.22/10,163.76
  6. Step 6: Final answer
    x = 5,384.95

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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.