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Finding the Fourth Proportional to 7,671.98, 11,499.32 and 3,779.12

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Solution

The fourth proportional to 7,671.98, 11,499.32 and 3,779.12 is: 5,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.98 : 11,499.32 = 3,779.12 : x
  2. Step 2: Convert to fraction form
    7,671.98/11,499.32 = 3,779.12/x
  3. Step 3: Cross multiply
    7,671.98x = 11,499.32 × 3,779.12
  4. Step 4: Simplify right side
    7,671.98x = 43,457,310.20
  5. Step 5: Solve for x
    x = 43,457,310.20/7,671.98
  6. Step 6: Final answer
    x = 5,664.42

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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.