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Finding the Fourth Proportional to 10,994.22, 16,500.18 and 5,730.84

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Solution

The fourth proportional to 10,994.22, 16,500.18 and 5,730.84 is: 8,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.22 : 16,500.18 = 5,730.84 : x
  2. Step 2: Convert to fraction form
    10,994.22/16,500.18 = 5,730.84/x
  3. Step 3: Cross multiply
    10,994.22x = 16,500.18 × 5,730.84
  4. Step 4: Simplify right side
    10,994.22x = 94,559,891.55
  5. Step 5: Solve for x
    x = 94,559,891.55/10,994.22
  6. Step 6: Final answer
    x = 8,600.87

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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.