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Finding the Fourth Proportional to 10,494.45, 15,741.95 and 3,474.45

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Solution

The fourth proportional to 10,494.45, 15,741.95 and 3,474.45 is: 5,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.45 : 15,741.95 = 3,474.45 : x
  2. Step 2: Convert to fraction form
    10,494.45/15,741.95 = 3,474.45/x
  3. Step 3: Cross multiply
    10,494.45x = 15,741.95 × 3,474.45
  4. Step 4: Simplify right side
    10,494.45x = 54,694,600.81
  5. Step 5: Solve for x
    x = 54,694,600.81/10,494.45
  6. Step 6: Final answer
    x = 5,211.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.