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Finding the Fourth Proportional to 6,813.60, 10,220.98 and 2,429.96

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Solution

The fourth proportional to 6,813.60, 10,220.98 and 2,429.96 is: 3,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.60 : 10,220.98 = 2,429.96 : x
  2. Step 2: Convert to fraction form
    6,813.60/10,220.98 = 2,429.96/x
  3. Step 3: Cross multiply
    6,813.60x = 10,220.98 × 2,429.96
  4. Step 4: Simplify right side
    6,813.60x = 24,836,572.56
  5. Step 5: Solve for x
    x = 24,836,572.56/6,813.60
  6. Step 6: Final answer
    x = 3,645.15

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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.