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Finding the Fourth Proportional to 7,843.39, 10,821.23 and 4,483.83

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Solution

The fourth proportional to 7,843.39, 10,821.23 and 4,483.83 is: 6,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.39 : 10,821.23 = 4,483.83 : x
  2. Step 2: Convert to fraction form
    7,843.39/10,821.23 = 4,483.83/x
  3. Step 3: Cross multiply
    7,843.39x = 10,821.23 × 4,483.83
  4. Step 4: Simplify right side
    7,843.39x = 48,520,555.71
  5. Step 5: Solve for x
    x = 48,520,555.71/7,843.39
  6. Step 6: Final answer
    x = 6,186.17

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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.