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Finding the Fourth Proportional to 8,533.97, 12,796.33 and 3,848.50

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Solution

The fourth proportional to 8,533.97, 12,796.33 and 3,848.50 is: 5,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.97 : 12,796.33 = 3,848.50 : x
  2. Step 2: Convert to fraction form
    8,533.97/12,796.33 = 3,848.50/x
  3. Step 3: Cross multiply
    8,533.97x = 12,796.33 × 3,848.50
  4. Step 4: Simplify right side
    8,533.97x = 49,246,689.60
  5. Step 5: Solve for x
    x = 49,246,689.60/8,533.97
  6. Step 6: Final answer
    x = 5,770.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.