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Finding the Fourth Proportional to 10,049.95, 13,852.94 and 7,922.03

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Solution

The fourth proportional to 10,049.95, 13,852.94 and 7,922.03 is: 10,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.95 : 13,852.94 = 7,922.03 : x
  2. Step 2: Convert to fraction form
    10,049.95/13,852.94 = 7,922.03/x
  3. Step 3: Cross multiply
    10,049.95x = 13,852.94 × 7,922.03
  4. Step 4: Simplify right side
    10,049.95x = 109,743,406.27
  5. Step 5: Solve for x
    x = 109,743,406.27/10,049.95
  6. Step 6: Final answer
    x = 10,919.80

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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.