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Finding the Fourth Proportional to 7,843.62, 10,823.96 and 4,306.74

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Solution

The fourth proportional to 7,843.62, 10,823.96 and 4,306.74 is: 5,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.62 : 10,823.96 = 4,306.74 : x
  2. Step 2: Convert to fraction form
    7,843.62/10,823.96 = 4,306.74/x
  3. Step 3: Cross multiply
    7,843.62x = 10,823.96 × 4,306.74
  4. Step 4: Simplify right side
    7,843.62x = 46,615,981.49
  5. Step 5: Solve for x
    x = 46,615,981.49/7,843.62
  6. Step 6: Final answer
    x = 5,943.17

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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.