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Finding the Fourth Proportional to 6,854.89, 10,267.94 and 6,777.13

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Solution

The fourth proportional to 6,854.89, 10,267.94 and 6,777.13 is: 10,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.89 : 10,267.94 = 6,777.13 : x
  2. Step 2: Convert to fraction form
    6,854.89/10,267.94 = 6,777.13/x
  3. Step 3: Cross multiply
    6,854.89x = 10,267.94 × 6,777.13
  4. Step 4: Simplify right side
    6,854.89x = 69,587,130.33
  5. Step 5: Solve for x
    x = 69,587,130.33/6,854.89
  6. Step 6: Final answer
    x = 10,151.46

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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.