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Finding the Fourth Proportional to 7,691.08, 11,527.10 and 5,466.37

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Solution

The fourth proportional to 7,691.08, 11,527.10 and 5,466.37 is: 8,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.08 : 11,527.10 = 5,466.37 : x
  2. Step 2: Convert to fraction form
    7,691.08/11,527.10 = 5,466.37/x
  3. Step 3: Cross multiply
    7,691.08x = 11,527.10 × 5,466.37
  4. Step 4: Simplify right side
    7,691.08x = 63,011,393.63
  5. Step 5: Solve for x
    x = 63,011,393.63/7,691.08
  6. Step 6: Final answer
    x = 8,192.79

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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.