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Finding the Fourth Proportional to 7,841.66, 10,826.46 and 4,859.24

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Solution

The fourth proportional to 7,841.66, 10,826.46 and 4,859.24 is: 6,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.66 : 10,826.46 = 4,859.24 : x
  2. Step 2: Convert to fraction form
    7,841.66/10,826.46 = 4,859.24/x
  3. Step 3: Cross multiply
    7,841.66x = 10,826.46 × 4,859.24
  4. Step 4: Simplify right side
    7,841.66x = 52,608,313.36
  5. Step 5: Solve for x
    x = 52,608,313.36/7,841.66
  6. Step 6: Final answer
    x = 6,708.83

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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.