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Finding the Fourth Proportional to 8,466.83, 11,680.44 and 5,107.49

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Solution

The fourth proportional to 8,466.83, 11,680.44 and 5,107.49 is: 7,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.83 : 11,680.44 = 5,107.49 : x
  2. Step 2: Convert to fraction form
    8,466.83/11,680.44 = 5,107.49/x
  3. Step 3: Cross multiply
    8,466.83x = 11,680.44 × 5,107.49
  4. Step 4: Simplify right side
    8,466.83x = 59,657,730.50
  5. Step 5: Solve for x
    x = 59,657,730.50/8,466.83
  6. Step 6: Final answer
    x = 7,046.05

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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.