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Finding the Fourth Proportional to 6,671.10, 10,005.60 and 4,198.35

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Solution

The fourth proportional to 6,671.10, 10,005.60 and 4,198.35 is: 6,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.10 : 10,005.60 = 4,198.35 : x
  2. Step 2: Convert to fraction form
    6,671.10/10,005.60 = 4,198.35/x
  3. Step 3: Cross multiply
    6,671.10x = 10,005.60 × 4,198.35
  4. Step 4: Simplify right side
    6,671.10x = 42,007,010.76
  5. Step 5: Solve for x
    x = 42,007,010.76/6,671.10
  6. Step 6: Final answer
    x = 6,296.86

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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.