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Finding the Fourth Proportional to 8,048.82, 12,077.35 and 3,892.40

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Solution

The fourth proportional to 8,048.82, 12,077.35 and 3,892.40 is: 5,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.82 : 12,077.35 = 3,892.40 : x
  2. Step 2: Convert to fraction form
    8,048.82/12,077.35 = 3,892.40/x
  3. Step 3: Cross multiply
    8,048.82x = 12,077.35 × 3,892.40
  4. Step 4: Simplify right side
    8,048.82x = 47,009,942.14
  5. Step 5: Solve for x
    x = 47,009,942.14/8,048.82
  6. Step 6: Final answer
    x = 5,840.60

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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.