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Finding the Fourth Proportional to 7,737, 11,576.34 and 4,801.56

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Solution

The fourth proportional to 7,737, 11,576.34 and 4,801.56 is: 7,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737 : 11,576.34 = 4,801.56 : x
  2. Step 2: Convert to fraction form
    7,737/11,576.34 = 4,801.56/x
  3. Step 3: Cross multiply
    7,737x = 11,576.34 × 4,801.56
  4. Step 4: Simplify right side
    7,737x = 55,584,491.09
  5. Step 5: Solve for x
    x = 55,584,491.09/7,737
  6. Step 6: Final answer
    x = 7,184.24

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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.