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Finding the Fourth Proportional to 11,764.48, 17,642.03 and 5,186

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Solution

The fourth proportional to 11,764.48, 17,642.03 and 5,186 is: 7,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.48 : 17,642.03 = 5,186 : x
  2. Step 2: Convert to fraction form
    11,764.48/17,642.03 = 5,186/x
  3. Step 3: Cross multiply
    11,764.48x = 17,642.03 × 5,186
  4. Step 4: Simplify right side
    11,764.48x = 91,491,567.58
  5. Step 5: Solve for x
    x = 91,491,567.58/11,764.48
  6. Step 6: Final answer
    x = 7,776.93

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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.