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Finding the Fourth Proportional to 7,656.26, 11,487.36 and 6,189.14

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Solution

The fourth proportional to 7,656.26, 11,487.36 and 6,189.14 is: 9,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.26 : 11,487.36 = 6,189.14 : x
  2. Step 2: Convert to fraction form
    7,656.26/11,487.36 = 6,189.14/x
  3. Step 3: Cross multiply
    7,656.26x = 11,487.36 × 6,189.14
  4. Step 4: Simplify right side
    7,656.26x = 71,096,931.20
  5. Step 5: Solve for x
    x = 71,096,931.20/7,656.26
  6. Step 6: Final answer
    x = 9,286.12

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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.