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Finding the Fourth Proportional to 8,282.52, 11,429.96 and 4,505.78

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Solution

The fourth proportional to 8,282.52, 11,429.96 and 4,505.78 is: 6,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.52 : 11,429.96 = 4,505.78 : x
  2. Step 2: Convert to fraction form
    8,282.52/11,429.96 = 4,505.78/x
  3. Step 3: Cross multiply
    8,282.52x = 11,429.96 × 4,505.78
  4. Step 4: Simplify right side
    8,282.52x = 51,500,852.27
  5. Step 5: Solve for x
    x = 51,500,852.27/8,282.52
  6. Step 6: Final answer
    x = 6,218.02

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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.