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Finding the Fourth Proportional to 8,614.78, 11,887.68 and 4,837.42

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Solution

The fourth proportional to 8,614.78, 11,887.68 and 4,837.42 is: 6,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.78 : 11,887.68 = 4,837.42 : x
  2. Step 2: Convert to fraction form
    8,614.78/11,887.68 = 4,837.42/x
  3. Step 3: Cross multiply
    8,614.78x = 11,887.68 × 4,837.42
  4. Step 4: Simplify right side
    8,614.78x = 57,505,700.99
  5. Step 5: Solve for x
    x = 57,505,700.99/8,614.78
  6. Step 6: Final answer
    x = 6,675.24

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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.