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Finding the Fourth Proportional to 10,474.35, 15,709.67 and 3,454.21

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Solution

The fourth proportional to 10,474.35, 15,709.67 and 3,454.21 is: 5,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.35 : 15,709.67 = 3,454.21 : x
  2. Step 2: Convert to fraction form
    10,474.35/15,709.67 = 3,454.21/x
  3. Step 3: Cross multiply
    10,474.35x = 15,709.67 × 3,454.21
  4. Step 4: Simplify right side
    10,474.35x = 54,264,499.21
  5. Step 5: Solve for x
    x = 54,264,499.21/10,474.35
  6. Step 6: Final answer
    x = 5,180.70

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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.