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Finding the Fourth Proportional to 7,841.91, 10,822.61 and 4,485.23

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Solution

The fourth proportional to 7,841.91, 10,822.61 and 4,485.23 is: 6,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.91 : 10,822.61 = 4,485.23 : x
  2. Step 2: Convert to fraction form
    7,841.91/10,822.61 = 4,485.23/x
  3. Step 3: Cross multiply
    7,841.91x = 10,822.61 × 4,485.23
  4. Step 4: Simplify right side
    7,841.91x = 48,541,818.51
  5. Step 5: Solve for x
    x = 48,541,818.51/7,841.91
  6. Step 6: Final answer
    x = 6,190.05

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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.