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Finding the Fourth Proportional to 7,656.80, 11,486.28 and 3,761.36

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Solution

The fourth proportional to 7,656.80, 11,486.28 and 3,761.36 is: 5,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.80 : 11,486.28 = 3,761.36 : x
  2. Step 2: Convert to fraction form
    7,656.80/11,486.28 = 3,761.36/x
  3. Step 3: Cross multiply
    7,656.80x = 11,486.28 × 3,761.36
  4. Step 4: Simplify right side
    7,656.80x = 43,204,034.14
  5. Step 5: Solve for x
    x = 43,204,034.14/7,656.80
  6. Step 6: Final answer
    x = 5,642.57

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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.