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Finding the Fourth Proportional to 8,566.68, 11,823.99 and 5,577.31

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Solution

The fourth proportional to 8,566.68, 11,823.99 and 5,577.31 is: 7,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.68 : 11,823.99 = 5,577.31 : x
  2. Step 2: Convert to fraction form
    8,566.68/11,823.99 = 5,577.31/x
  3. Step 3: Cross multiply
    8,566.68x = 11,823.99 × 5,577.31
  4. Step 4: Simplify right side
    8,566.68x = 65,946,057.67
  5. Step 5: Solve for x
    x = 65,946,057.67/8,566.68
  6. Step 6: Final answer
    x = 7,697.97

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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.