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Finding the Fourth Proportional to 7,843.58, 10,823.94 and 4,306.76

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Solution

The fourth proportional to 7,843.58, 10,823.94 and 4,306.76 is: 5,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.58 : 10,823.94 = 4,306.76 : x
  2. Step 2: Convert to fraction form
    7,843.58/10,823.94 = 4,306.76/x
  3. Step 3: Cross multiply
    7,843.58x = 10,823.94 × 4,306.76
  4. Step 4: Simplify right side
    7,843.58x = 46,616,111.83
  5. Step 5: Solve for x
    x = 46,616,111.83/7,843.58
  6. Step 6: Final answer
    x = 5,943.22

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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.