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Finding the Fourth Proportional to 7,696.74, 11,543.85 and 2,765.46

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Solution

The fourth proportional to 7,696.74, 11,543.85 and 2,765.46 is: 4,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.74 : 11,543.85 = 2,765.46 : x
  2. Step 2: Convert to fraction form
    7,696.74/11,543.85 = 2,765.46/x
  3. Step 3: Cross multiply
    7,696.74x = 11,543.85 × 2,765.46
  4. Step 4: Simplify right side
    7,696.74x = 31,924,055.42
  5. Step 5: Solve for x
    x = 31,924,055.42/7,696.74
  6. Step 6: Final answer
    x = 4,147.74

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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.