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Finding the Fourth Proportional to 11,922.35, 17,880.10 and 4,806.56

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Solution

The fourth proportional to 11,922.35, 17,880.10 and 4,806.56 is: 7,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.35 : 17,880.10 = 4,806.56 : x
  2. Step 2: Convert to fraction form
    11,922.35/17,880.10 = 4,806.56/x
  3. Step 3: Cross multiply
    11,922.35x = 17,880.10 × 4,806.56
  4. Step 4: Simplify right side
    11,922.35x = 85,941,806.14
  5. Step 5: Solve for x
    x = 85,941,806.14/11,922.35
  6. Step 6: Final answer
    x = 7,208.46

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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.