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Finding the Fourth Proportional to 8,505.83, 11,732.75 and 5,848.63

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Solution

The fourth proportional to 8,505.83, 11,732.75 and 5,848.63 is: 8,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.83 : 11,732.75 = 5,848.63 : x
  2. Step 2: Convert to fraction form
    8,505.83/11,732.75 = 5,848.63/x
  3. Step 3: Cross multiply
    8,505.83x = 11,732.75 × 5,848.63
  4. Step 4: Simplify right side
    8,505.83x = 68,620,513.63
  5. Step 5: Solve for x
    x = 68,620,513.63/8,505.83
  6. Step 6: Final answer
    x = 8,067.47

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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.