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Finding the Fourth Proportional to 8,584.98, 12,906.18 and 6,851.76

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Solution

The fourth proportional to 8,584.98, 12,906.18 and 6,851.76 is: 10,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.98 : 12,906.18 = 6,851.76 : x
  2. Step 2: Convert to fraction form
    8,584.98/12,906.18 = 6,851.76/x
  3. Step 3: Cross multiply
    8,584.98x = 12,906.18 × 6,851.76
  4. Step 4: Simplify right side
    8,584.98x = 88,430,047.88
  5. Step 5: Solve for x
    x = 88,430,047.88/8,584.98
  6. Step 6: Final answer
    x = 10,300.55

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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.