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Finding the Fourth Proportional to 6,813.96, 10,214.55 and 2,656.64

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Solution

The fourth proportional to 6,813.96, 10,214.55 and 2,656.64 is: 3,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.96 : 10,214.55 = 2,656.64 : x
  2. Step 2: Convert to fraction form
    6,813.96/10,214.55 = 2,656.64/x
  3. Step 3: Cross multiply
    6,813.96x = 10,214.55 × 2,656.64
  4. Step 4: Simplify right side
    6,813.96x = 27,136,331.04
  5. Step 5: Solve for x
    x = 27,136,331.04/6,813.96
  6. Step 6: Final answer
    x = 3,982.46

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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.