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Finding the Fourth Proportional to 7,462.16, 11,185.04 and 3,077.24

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Solution

The fourth proportional to 7,462.16, 11,185.04 and 3,077.24 is: 4,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.16 : 11,185.04 = 3,077.24 : x
  2. Step 2: Convert to fraction form
    7,462.16/11,185.04 = 3,077.24/x
  3. Step 3: Cross multiply
    7,462.16x = 11,185.04 × 3,077.24
  4. Step 4: Simplify right side
    7,462.16x = 34,419,052.49
  5. Step 5: Solve for x
    x = 34,419,052.49/7,462.16
  6. Step 6: Final answer
    x = 4,612.48

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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.