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Finding the Fourth Proportional to 6,894.83, 10,346.18 and 5,738.83

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Solution

The fourth proportional to 6,894.83, 10,346.18 and 5,738.83 is: 8,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.83 : 10,346.18 = 5,738.83 : x
  2. Step 2: Convert to fraction form
    6,894.83/10,346.18 = 5,738.83/x
  3. Step 3: Cross multiply
    6,894.83x = 10,346.18 × 5,738.83
  4. Step 4: Simplify right side
    6,894.83x = 59,374,913.61
  5. Step 5: Solve for x
    x = 59,374,913.61/6,894.83
  6. Step 6: Final answer
    x = 8,611.51

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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.