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Finding the Fourth Proportional to 7,096.32, 10,638 and 3,763.44

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Solution

The fourth proportional to 7,096.32, 10,638 and 3,763.44 is: 5,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.32 : 10,638 = 3,763.44 : x
  2. Step 2: Convert to fraction form
    7,096.32/10,638 = 3,763.44/x
  3. Step 3: Cross multiply
    7,096.32x = 10,638 × 3,763.44
  4. Step 4: Simplify right side
    7,096.32x = 40,035,474.72
  5. Step 5: Solve for x
    x = 40,035,474.72/7,096.32
  6. Step 6: Final answer
    x = 5,641.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.