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Finding the Fourth Proportional to 8,543.81, 12,810.38 and 2,997.68

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Solution

The fourth proportional to 8,543.81, 12,810.38 and 2,997.68 is: 4,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.81 : 12,810.38 = 2,997.68 : x
  2. Step 2: Convert to fraction form
    8,543.81/12,810.38 = 2,997.68/x
  3. Step 3: Cross multiply
    8,543.81x = 12,810.38 × 2,997.68
  4. Step 4: Simplify right side
    8,543.81x = 38,401,340.88
  5. Step 5: Solve for x
    x = 38,401,340.88/8,543.81
  6. Step 6: Final answer
    x = 4,494.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.