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Finding the Fourth Proportional to 8,172.68, 11,274.36 and 5,023.40

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Solution

The fourth proportional to 8,172.68, 11,274.36 and 5,023.40 is: 6,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.68 : 11,274.36 = 5,023.40 : x
  2. Step 2: Convert to fraction form
    8,172.68/11,274.36 = 5,023.40/x
  3. Step 3: Cross multiply
    8,172.68x = 11,274.36 × 5,023.40
  4. Step 4: Simplify right side
    8,172.68x = 56,635,620.02
  5. Step 5: Solve for x
    x = 56,635,620.02/8,172.68
  6. Step 6: Final answer
    x = 6,929.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.