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Finding the Fourth Proportional to 7,381.68, 11,083.70 and 6,352.96

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Solution

The fourth proportional to 7,381.68, 11,083.70 and 6,352.96 is: 9,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.68 : 11,083.70 = 6,352.96 : x
  2. Step 2: Convert to fraction form
    7,381.68/11,083.70 = 6,352.96/x
  3. Step 3: Cross multiply
    7,381.68x = 11,083.70 × 6,352.96
  4. Step 4: Simplify right side
    7,381.68x = 70,414,302.75
  5. Step 5: Solve for x
    x = 70,414,302.75/7,381.68
  6. Step 6: Final answer
    x = 9,539.06

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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.