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Finding the Fourth Proportional to 10,611.84, 15,912.29 and 4,763.44

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Solution

The fourth proportional to 10,611.84, 15,912.29 and 4,763.44 is: 7,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.84 : 15,912.29 = 4,763.44 : x
  2. Step 2: Convert to fraction form
    10,611.84/15,912.29 = 4,763.44/x
  3. Step 3: Cross multiply
    10,611.84x = 15,912.29 × 4,763.44
  4. Step 4: Simplify right side
    10,611.84x = 75,797,210.81
  5. Step 5: Solve for x
    x = 75,797,210.81/10,611.84
  6. Step 6: Final answer
    x = 7,142.70

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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.