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Finding the Fourth Proportional to 7,841.29, 10,821.12 and 4,304.83

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Solution

The fourth proportional to 7,841.29, 10,821.12 and 4,304.83 is: 5,940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.29 : 10,821.12 = 4,304.83 : x
  2. Step 2: Convert to fraction form
    7,841.29/10,821.12 = 4,304.83/x
  3. Step 3: Cross multiply
    7,841.29x = 10,821.12 × 4,304.83
  4. Step 4: Simplify right side
    7,841.29x = 46,583,082.01
  5. Step 5: Solve for x
    x = 46,583,082.01/7,841.29
  6. Step 6: Final answer
    x = 5,940.74

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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.