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Finding the Fourth Proportional to 7,091.23, 10,623 and 5,213.65

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Solution

The fourth proportional to 7,091.23, 10,623 and 5,213.65 is: 7,810.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.23 : 10,623 = 5,213.65 : x
  2. Step 2: Convert to fraction form
    7,091.23/10,623 = 5,213.65/x
  3. Step 3: Cross multiply
    7,091.23x = 10,623 × 5,213.65
  4. Step 4: Simplify right side
    7,091.23x = 55,384,603.95
  5. Step 5: Solve for x
    x = 55,384,603.95/7,091.23
  6. Step 6: Final answer
    x = 7,810.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.