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Finding the Fourth Proportional to 7,618.40, 11,412.72 and 6,792.80

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Solution

The fourth proportional to 7,618.40, 11,412.72 and 6,792.80 is: 10,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.40 : 11,412.72 = 6,792.80 : x
  2. Step 2: Convert to fraction form
    7,618.40/11,412.72 = 6,792.80/x
  3. Step 3: Cross multiply
    7,618.40x = 11,412.72 × 6,792.80
  4. Step 4: Simplify right side
    7,618.40x = 77,524,324.42
  5. Step 5: Solve for x
    x = 77,524,324.42/7,618.40
  6. Step 6: Final answer
    x = 10,175.93

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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.