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Finding the Fourth Proportional to 7,843.40, 10,823.56 and 4,306.68

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Solution

The fourth proportional to 7,843.40, 10,823.56 and 4,306.68 is: 5,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.40 : 10,823.56 = 4,306.68 : x
  2. Step 2: Convert to fraction form
    7,843.40/10,823.56 = 4,306.68/x
  3. Step 3: Cross multiply
    7,843.40x = 10,823.56 × 4,306.68
  4. Step 4: Simplify right side
    7,843.40x = 46,613,598.61
  5. Step 5: Solve for x
    x = 46,613,598.61/7,843.40
  6. Step 6: Final answer
    x = 5,943.04

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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.