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Finding the Fourth Proportional to 7,665.22, 11,485.07 and 5,814.17

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Solution

The fourth proportional to 7,665.22, 11,485.07 and 5,814.17 is: 8,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.22 : 11,485.07 = 5,814.17 : x
  2. Step 2: Convert to fraction form
    7,665.22/11,485.07 = 5,814.17/x
  3. Step 3: Cross multiply
    7,665.22x = 11,485.07 × 5,814.17
  4. Step 4: Simplify right side
    7,665.22x = 66,776,149.44
  5. Step 5: Solve for x
    x = 66,776,149.44/7,665.22
  6. Step 6: Final answer
    x = 8,711.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.