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Finding the Fourth Proportional to 7,843.48, 10,823.96 and 4,306.66

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Solution

The fourth proportional to 7,843.48, 10,823.96 and 4,306.66 is: 5,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.48 : 10,823.96 = 4,306.66 : x
  2. Step 2: Convert to fraction form
    7,843.48/10,823.96 = 4,306.66/x
  3. Step 3: Cross multiply
    7,843.48x = 10,823.96 × 4,306.66
  4. Step 4: Simplify right side
    7,843.48x = 46,615,099.28
  5. Step 5: Solve for x
    x = 46,615,099.28/7,843.48
  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.