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Finding the Fourth Proportional to 7,849.83, 10,832.26 and 7,222.89

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Solution

The fourth proportional to 7,849.83, 10,832.26 and 7,222.89 is: 9,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.83 : 10,832.26 = 7,222.89 : x
  2. Step 2: Convert to fraction form
    7,849.83/10,832.26 = 7,222.89/x
  3. Step 3: Cross multiply
    7,849.83x = 10,832.26 × 7,222.89
  4. Step 4: Simplify right side
    7,849.83x = 78,240,222.43
  5. Step 5: Solve for x
    x = 78,240,222.43/7,849.83
  6. Step 6: Final answer
    x = 9,967.12

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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.