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Finding the Fourth Proportional to 8,644.61, 11,924.75 and 5,665.25

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Solution

The fourth proportional to 8,644.61, 11,924.75 and 5,665.25 is: 7,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.61 : 11,924.75 = 5,665.25 : x
  2. Step 2: Convert to fraction form
    8,644.61/11,924.75 = 5,665.25/x
  3. Step 3: Cross multiply
    8,644.61x = 11,924.75 × 5,665.25
  4. Step 4: Simplify right side
    8,644.61x = 67,556,644.48
  5. Step 5: Solve for x
    x = 67,556,644.48/8,644.61
  6. Step 6: Final answer
    x = 7,814.89

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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.