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Finding the Fourth Proportional to 7,824.60, 11,737.86 and 2,894.25

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Solution

The fourth proportional to 7,824.60, 11,737.86 and 2,894.25 is: 4,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.60 : 11,737.86 = 2,894.25 : x
  2. Step 2: Convert to fraction form
    7,824.60/11,737.86 = 2,894.25/x
  3. Step 3: Cross multiply
    7,824.60x = 11,737.86 × 2,894.25
  4. Step 4: Simplify right side
    7,824.60x = 33,972,301.31
  5. Step 5: Solve for x
    x = 33,972,301.31/7,824.60
  6. Step 6: Final answer
    x = 4,341.73

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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.