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Finding the Fourth Proportional to 7,672.32, 11,505.87 and 2,991.96

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Solution

The fourth proportional to 7,672.32, 11,505.87 and 2,991.96 is: 4,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.32 : 11,505.87 = 2,991.96 : x
  2. Step 2: Convert to fraction form
    7,672.32/11,505.87 = 2,991.96/x
  3. Step 3: Cross multiply
    7,672.32x = 11,505.87 × 2,991.96
  4. Step 4: Simplify right side
    7,672.32x = 34,425,102.81
  5. Step 5: Solve for x
    x = 34,425,102.81/7,672.32
  6. Step 6: Final answer
    x = 4,486.92

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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.