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Finding the Fourth Proportional to 7,666.56, 11,505.54 and 5,696.73

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Solution

The fourth proportional to 7,666.56, 11,505.54 and 5,696.73 is: 8,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.56 : 11,505.54 = 5,696.73 : x
  2. Step 2: Convert to fraction form
    7,666.56/11,505.54 = 5,696.73/x
  3. Step 3: Cross multiply
    7,666.56x = 11,505.54 × 5,696.73
  4. Step 4: Simplify right side
    7,666.56x = 65,543,954.88
  5. Step 5: Solve for x
    x = 65,543,954.88/7,666.56
  6. Step 6: Final answer
    x = 8,549.33

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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.