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Finding the Fourth Proportional to 8,577.30, 12,865.80 and 2,733.86

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Solution

The fourth proportional to 8,577.30, 12,865.80 and 2,733.86 is: 4,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.30 : 12,865.80 = 2,733.86 : x
  2. Step 2: Convert to fraction form
    8,577.30/12,865.80 = 2,733.86/x
  3. Step 3: Cross multiply
    8,577.30x = 12,865.80 × 2,733.86
  4. Step 4: Simplify right side
    8,577.30x = 35,173,295.99
  5. Step 5: Solve for x
    x = 35,173,295.99/8,577.30
  6. Step 6: Final answer
    x = 4,100.74

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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.