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Finding the Fourth Proportional to 7,121.85, 9,819 and 5,841.03

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Solution

The fourth proportional to 7,121.85, 9,819 and 5,841.03 is: 8,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.85 : 9,819 = 5,841.03 : x
  2. Step 2: Convert to fraction form
    7,121.85/9,819 = 5,841.03/x
  3. Step 3: Cross multiply
    7,121.85x = 9,819 × 5,841.03
  4. Step 4: Simplify right side
    7,121.85x = 57,353,073.57
  5. Step 5: Solve for x
    x = 57,353,073.57/7,121.85
  6. Step 6: Final answer
    x = 8,053.11

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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.