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Finding the Fourth Proportional to 7,841.50, 10,821.19 and 4,304.63

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Solution

The fourth proportional to 7,841.50, 10,821.19 and 4,304.63 is: 5,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.50 : 10,821.19 = 4,304.63 : x
  2. Step 2: Convert to fraction form
    7,841.50/10,821.19 = 4,304.63/x
  3. Step 3: Cross multiply
    7,841.50x = 10,821.19 × 4,304.63
  4. Step 4: Simplify right side
    7,841.50x = 46,581,219.11
  5. Step 5: Solve for x
    x = 46,581,219.11/7,841.50
  6. Step 6: Final answer
    x = 5,940.35

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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.