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Finding the Fourth Proportional to 8,543.27, 12,806.71 and 2,695.88

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Solution

The fourth proportional to 8,543.27, 12,806.71 and 2,695.88 is: 4,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.27 : 12,806.71 = 2,695.88 : x
  2. Step 2: Convert to fraction form
    8,543.27/12,806.71 = 2,695.88/x
  3. Step 3: Cross multiply
    8,543.27x = 12,806.71 × 2,695.88
  4. Step 4: Simplify right side
    8,543.27x = 34,525,378.63
  5. Step 5: Solve for x
    x = 34,525,378.63/8,543.27
  6. Step 6: Final answer
    x = 4,041.24

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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.