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Finding the Fourth Proportional to 8,164.98, 12,237.75 and 5,686.38

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Solution

The fourth proportional to 8,164.98, 12,237.75 and 5,686.38 is: 8,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.98 : 12,237.75 = 5,686.38 : x
  2. Step 2: Convert to fraction form
    8,164.98/12,237.75 = 5,686.38/x
  3. Step 3: Cross multiply
    8,164.98x = 12,237.75 × 5,686.38
  4. Step 4: Simplify right side
    8,164.98x = 69,588,496.85
  5. Step 5: Solve for x
    x = 69,588,496.85/8,164.98
  6. Step 6: Final answer
    x = 8,522.80

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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.