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Finding the Fourth Proportional to 8,256.25, 11,393.82 and 4,719.79

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Solution

The fourth proportional to 8,256.25, 11,393.82 and 4,719.79 is: 6,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.25 : 11,393.82 = 4,719.79 : x
  2. Step 2: Convert to fraction form
    8,256.25/11,393.82 = 4,719.79/x
  3. Step 3: Cross multiply
    8,256.25x = 11,393.82 × 4,719.79
  4. Step 4: Simplify right side
    8,256.25x = 53,776,357.13
  5. Step 5: Solve for x
    x = 53,776,357.13/8,256.25
  6. Step 6: Final answer
    x = 6,513.42

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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.