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Finding the Fourth Proportional to 6,777.64, 10,149.18 and 6,207.40

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Solution

The fourth proportional to 6,777.64, 10,149.18 and 6,207.40 is: 9,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.64 : 10,149.18 = 6,207.40 : x
  2. Step 2: Convert to fraction form
    6,777.64/10,149.18 = 6,207.40/x
  3. Step 3: Cross multiply
    6,777.64x = 10,149.18 × 6,207.40
  4. Step 4: Simplify right side
    6,777.64x = 63,000,019.93
  5. Step 5: Solve for x
    x = 63,000,019.93/6,777.64
  6. Step 6: Final answer
    x = 9,295.27

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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.