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Finding the Fourth Proportional to 8,500.17, 11,713.89 and 5,664.36

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Solution

The fourth proportional to 8,500.17, 11,713.89 and 5,664.36 is: 7,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.17 : 11,713.89 = 5,664.36 : x
  2. Step 2: Convert to fraction form
    8,500.17/11,713.89 = 5,664.36/x
  3. Step 3: Cross multiply
    8,500.17x = 11,713.89 × 5,664.36
  4. Step 4: Simplify right side
    8,500.17x = 66,351,689.96
  5. Step 5: Solve for x
    x = 66,351,689.96/8,500.17
  6. Step 6: Final answer
    x = 7,805.93

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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.