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Finding the Fourth Proportional to 7,764.36, 11,581.38 and 7,127.52

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Solution

The fourth proportional to 7,764.36, 11,581.38 and 7,127.52 is: 10,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.36 : 11,581.38 = 7,127.52 : x
  2. Step 2: Convert to fraction form
    7,764.36/11,581.38 = 7,127.52/x
  3. Step 3: Cross multiply
    7,764.36x = 11,581.38 × 7,127.52
  4. Step 4: Simplify right side
    7,764.36x = 82,546,517.58
  5. Step 5: Solve for x
    x = 82,546,517.58/7,764.36
  6. Step 6: Final answer
    x = 10,631.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.