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Finding the Fourth Proportional to 7,700.24, 11,549.10 and 2,768.96

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Solution

The fourth proportional to 7,700.24, 11,549.10 and 2,768.96 is: 4,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.24 : 11,549.10 = 2,768.96 : x
  2. Step 2: Convert to fraction form
    7,700.24/11,549.10 = 2,768.96/x
  3. Step 3: Cross multiply
    7,700.24x = 11,549.10 × 2,768.96
  4. Step 4: Simplify right side
    7,700.24x = 31,978,995.94
  5. Step 5: Solve for x
    x = 31,978,995.94/7,700.24
  6. Step 6: Final answer
    x = 4,152.99

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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.