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Finding the Fourth Proportional to 8,777.16, 12,099.66 and 6,677.64

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Solution

The fourth proportional to 8,777.16, 12,099.66 and 6,677.64 is: 9,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777.16 : 12,099.66 = 6,677.64 : x
  2. Step 2: Convert to fraction form
    8,777.16/12,099.66 = 6,677.64/x
  3. Step 3: Cross multiply
    8,777.16x = 12,099.66 × 6,677.64
  4. Step 4: Simplify right side
    8,777.16x = 80,797,173.60
  5. Step 5: Solve for x
    x = 80,797,173.60/8,777.16
  6. Step 6: Final answer
    x = 9,205.39

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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.