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Finding the Fourth Proportional to 8,543.22, 12,880.57 and 8,390.13

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Solution

The fourth proportional to 8,543.22, 12,880.57 and 8,390.13 is: 12,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.22 : 12,880.57 = 8,390.13 : x
  2. Step 2: Convert to fraction form
    8,543.22/12,880.57 = 8,390.13/x
  3. Step 3: Cross multiply
    8,543.22x = 12,880.57 × 8,390.13
  4. Step 4: Simplify right side
    8,543.22x = 108,069,675.68
  5. Step 5: Solve for x
    x = 108,069,675.68/8,543.22
  6. Step 6: Final answer
    x = 12,649.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.