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Finding the Fourth Proportional to 10,904.30, 16,364.74 and 7,990.22

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Solution

The fourth proportional to 10,904.30, 16,364.74 and 7,990.22 is: 11,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.30 : 16,364.74 = 7,990.22 : x
  2. Step 2: Convert to fraction form
    10,904.30/16,364.74 = 7,990.22/x
  3. Step 3: Cross multiply
    10,904.30x = 16,364.74 × 7,990.22
  4. Step 4: Simplify right side
    10,904.30x = 130,757,872.84
  5. Step 5: Solve for x
    x = 130,757,872.84/10,904.30
  6. Step 6: Final answer
    x = 11,991.40

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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.