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Finding the Fourth Proportional to 8,654.49, 11,943.20 and 4,675.60

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Solution

The fourth proportional to 8,654.49, 11,943.20 and 4,675.60 is: 6,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.49 : 11,943.20 = 4,675.60 : x
  2. Step 2: Convert to fraction form
    8,654.49/11,943.20 = 4,675.60/x
  3. Step 3: Cross multiply
    8,654.49x = 11,943.20 × 4,675.60
  4. Step 4: Simplify right side
    8,654.49x = 55,841,607.75
  5. Step 5: Solve for x
    x = 55,841,607.75/8,654.49
  6. Step 6: Final answer
    x = 6,452.33

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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.