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Finding the Fourth Proportional to 11,776.82, 17,668.74 and 4,753.22

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Solution

The fourth proportional to 11,776.82, 17,668.74 and 4,753.22 is: 7,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.82 : 17,668.74 = 4,753.22 : x
  2. Step 2: Convert to fraction form
    11,776.82/17,668.74 = 4,753.22/x
  3. Step 3: Cross multiply
    11,776.82x = 17,668.74 × 4,753.22
  4. Step 4: Simplify right side
    11,776.82x = 83,983,408.34
  5. Step 5: Solve for x
    x = 83,983,408.34/11,776.82
  6. Step 6: Final answer
    x = 7,131.25

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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.