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Finding the Fourth Proportional to 6,709.84, 10,064.49 and 3,422.86

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Solution

The fourth proportional to 6,709.84, 10,064.49 and 3,422.86 is: 5,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.84 : 10,064.49 = 3,422.86 : x
  2. Step 2: Convert to fraction form
    6,709.84/10,064.49 = 3,422.86/x
  3. Step 3: Cross multiply
    6,709.84x = 10,064.49 × 3,422.86
  4. Step 4: Simplify right side
    6,709.84x = 34,449,340.24
  5. Step 5: Solve for x
    x = 34,449,340.24/6,709.84
  6. Step 6: Final answer
    x = 5,134.15

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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.