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Finding the Fourth Proportional to 8,456.53, 11,665.32 and 4,919.35

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Solution

The fourth proportional to 8,456.53, 11,665.32 and 4,919.35 is: 6,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.53 : 11,665.32 = 4,919.35 : x
  2. Step 2: Convert to fraction form
    8,456.53/11,665.32 = 4,919.35/x
  3. Step 3: Cross multiply
    8,456.53x = 11,665.32 × 4,919.35
  4. Step 4: Simplify right side
    8,456.53x = 57,385,791.94
  5. Step 5: Solve for x
    x = 57,385,791.94/8,456.53
  6. Step 6: Final answer
    x = 6,785.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.