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Finding the Fourth Proportional to 8,564.43, 11,817.54 and 5,205.45

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Solution

The fourth proportional to 8,564.43, 11,817.54 and 5,205.45 is: 7,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.43 : 11,817.54 = 5,205.45 : x
  2. Step 2: Convert to fraction form
    8,564.43/11,817.54 = 5,205.45/x
  3. Step 3: Cross multiply
    8,564.43x = 11,817.54 × 5,205.45
  4. Step 4: Simplify right side
    8,564.43x = 61,515,613.59
  5. Step 5: Solve for x
    x = 61,515,613.59/8,564.43
  6. Step 6: Final answer
    x = 7,182.69

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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.