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Finding the Fourth Proportional to 7,849.72, 10,832.20 and 4,492.16

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Solution

The fourth proportional to 7,849.72, 10,832.20 and 4,492.16 is: 6,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.72 : 10,832.20 = 4,492.16 : x
  2. Step 2: Convert to fraction form
    7,849.72/10,832.20 = 4,492.16/x
  3. Step 3: Cross multiply
    7,849.72x = 10,832.20 × 4,492.16
  4. Step 4: Simplify right side
    7,849.72x = 48,659,975.55
  5. Step 5: Solve for x
    x = 48,659,975.55/7,849.72
  6. Step 6: Final answer
    x = 6,198.94

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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.