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Finding the Fourth Proportional to 7,641.05, 11,466.05 and 3,198.35

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Solution

The fourth proportional to 7,641.05, 11,466.05 and 3,198.35 is: 4,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.05 : 11,466.05 = 3,198.35 : x
  2. Step 2: Convert to fraction form
    7,641.05/11,466.05 = 3,198.35/x
  3. Step 3: Cross multiply
    7,641.05x = 11,466.05 × 3,198.35
  4. Step 4: Simplify right side
    7,641.05x = 36,672,441.02
  5. Step 5: Solve for x
    x = 36,672,441.02/7,641.05
  6. Step 6: Final answer
    x = 4,799.40

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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.