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Finding the Fourth Proportional to 7,696.66, 11,537.92 and 2,765.13

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Solution

The fourth proportional to 7,696.66, 11,537.92 and 2,765.13 is: 4,145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.66 : 11,537.92 = 2,765.13 : x
  2. Step 2: Convert to fraction form
    7,696.66/11,537.92 = 2,765.13/x
  3. Step 3: Cross multiply
    7,696.66x = 11,537.92 × 2,765.13
  4. Step 4: Simplify right side
    7,696.66x = 31,903,848.73
  5. Step 5: Solve for x
    x = 31,903,848.73/7,696.66
  6. Step 6: Final answer
    x = 4,145.16

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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.