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Finding the Fourth Proportional to 10,990.77, 16,486.15 and 3,200.19

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Solution

The fourth proportional to 10,990.77, 16,486.15 and 3,200.19 is: 4,800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990.77 : 16,486.15 = 3,200.19 : x
  2. Step 2: Convert to fraction form
    10,990.77/16,486.15 = 3,200.19/x
  3. Step 3: Cross multiply
    10,990.77x = 16,486.15 × 3,200.19
  4. Step 4: Simplify right side
    10,990.77x = 52,758,812.37
  5. Step 5: Solve for x
    x = 52,758,812.37/10,990.77
  6. Step 6: Final answer
    x = 4,800.28

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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.