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Finding the Fourth Proportional to 6,811.64, 10,212.28 and 3,522.64

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Solution

The fourth proportional to 6,811.64, 10,212.28 and 3,522.64 is: 5,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.64 : 10,212.28 = 3,522.64 : x
  2. Step 2: Convert to fraction form
    6,811.64/10,212.28 = 3,522.64/x
  3. Step 3: Cross multiply
    6,811.64x = 10,212.28 × 3,522.64
  4. Step 4: Simplify right side
    6,811.64x = 35,974,160.49
  5. Step 5: Solve for x
    x = 35,974,160.49/6,811.64
  6. Step 6: Final answer
    x = 5,281.28

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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.