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Finding the Fourth Proportional to 8,428.32, 12,611.88 and 6,093

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Solution

The fourth proportional to 8,428.32, 12,611.88 and 6,093 is: 9,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.32 : 12,611.88 = 6,093 : x
  2. Step 2: Convert to fraction form
    8,428.32/12,611.88 = 6,093/x
  3. Step 3: Cross multiply
    8,428.32x = 12,611.88 × 6,093
  4. Step 4: Simplify right side
    8,428.32x = 76,844,184.84
  5. Step 5: Solve for x
    x = 76,844,184.84/8,428.32
  6. Step 6: Final answer
    x = 9,117.38

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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.