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Finding the Fourth Proportional to 10,286.69, 15,430.64 and 2,891.73

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Solution

The fourth proportional to 10,286.69, 15,430.64 and 2,891.73 is: 4,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.69 : 15,430.64 = 2,891.73 : x
  2. Step 2: Convert to fraction form
    10,286.69/15,430.64 = 2,891.73/x
  3. Step 3: Cross multiply
    10,286.69x = 15,430.64 × 2,891.73
  4. Step 4: Simplify right side
    10,286.69x = 44,621,244.61
  5. Step 5: Solve for x
    x = 44,621,244.61/10,286.69
  6. Step 6: Final answer
    x = 4,337.77

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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.