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Finding the Fourth Proportional to 6,854.40, 10,270.92 and 4,778.64

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Solution

The fourth proportional to 6,854.40, 10,270.92 and 4,778.64 is: 7,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.40 : 10,270.92 = 4,778.64 : x
  2. Step 2: Convert to fraction form
    6,854.40/10,270.92 = 4,778.64/x
  3. Step 3: Cross multiply
    6,854.40x = 10,270.92 × 4,778.64
  4. Step 4: Simplify right side
    6,854.40x = 49,081,029.15
  5. Step 5: Solve for x
    x = 49,081,029.15/6,854.40
  6. Step 6: Final answer
    x = 7,160.51

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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.