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Finding the Fourth Proportional to 8,239.42, 11,369.54 and 4,654.07

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Solution

The fourth proportional to 8,239.42, 11,369.54 and 4,654.07 is: 6,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.42 : 11,369.54 = 4,654.07 : x
  2. Step 2: Convert to fraction form
    8,239.42/11,369.54 = 4,654.07/x
  3. Step 3: Cross multiply
    8,239.42x = 11,369.54 × 4,654.07
  4. Step 4: Simplify right side
    8,239.42x = 52,914,635.03
  5. Step 5: Solve for x
    x = 52,914,635.03/8,239.42
  6. Step 6: Final answer
    x = 6,422.13

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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.