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Finding the Fourth Proportional to 8,564.86, 11,820.27 and 5,206.87

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Solution

The fourth proportional to 8,564.86, 11,820.27 and 5,206.87 is: 7,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.86 : 11,820.27 = 5,206.87 : x
  2. Step 2: Convert to fraction form
    8,564.86/11,820.27 = 5,206.87/x
  3. Step 3: Cross multiply
    8,564.86x = 11,820.27 × 5,206.87
  4. Step 4: Simplify right side
    8,564.86x = 61,546,609.25
  5. Step 5: Solve for x
    x = 61,546,609.25/8,564.86
  6. Step 6: Final answer
    x = 7,185.94

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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.