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Finding the Fourth Proportional to 7,825.92, 11,737.04 and 2,277.78

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Solution

The fourth proportional to 7,825.92, 11,737.04 and 2,277.78 is: 3,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.92 : 11,737.04 = 2,277.78 : x
  2. Step 2: Convert to fraction form
    7,825.92/11,737.04 = 2,277.78/x
  3. Step 3: Cross multiply
    7,825.92x = 11,737.04 × 2,277.78
  4. Step 4: Simplify right side
    7,825.92x = 26,734,383.58
  5. Step 5: Solve for x
    x = 26,734,383.58/7,825.92
  6. Step 6: Final answer
    x = 3,416.13

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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.