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Finding the Fourth Proportional to 7,968.88, 10,997.88 and 4,611.53

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Solution

The fourth proportional to 7,968.88, 10,997.88 and 4,611.53 is: 6,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.88 : 10,997.88 = 4,611.53 : x
  2. Step 2: Convert to fraction form
    7,968.88/10,997.88 = 4,611.53/x
  3. Step 3: Cross multiply
    7,968.88x = 10,997.88 × 4,611.53
  4. Step 4: Simplify right side
    7,968.88x = 50,717,063.76
  5. Step 5: Solve for x
    x = 50,717,063.76/7,968.88
  6. Step 6: Final answer
    x = 6,364.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.