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Finding the Fourth Proportional to 7,731.30, 11,576.18 and 6,361.17

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Solution

The fourth proportional to 7,731.30, 11,576.18 and 6,361.17 is: 9,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.30 : 11,576.18 = 6,361.17 : x
  2. Step 2: Convert to fraction form
    7,731.30/11,576.18 = 6,361.17/x
  3. Step 3: Cross multiply
    7,731.30x = 11,576.18 × 6,361.17
  4. Step 4: Simplify right side
    7,731.30x = 73,638,017.12
  5. Step 5: Solve for x
    x = 73,638,017.12/7,731.30
  6. Step 6: Final answer
    x = 9,524.66

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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.