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Finding the Fourth Proportional to 7,849.62, 10,832.42 and 4,264.55

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Solution

The fourth proportional to 7,849.62, 10,832.42 and 4,264.55 is: 5,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.62 : 10,832.42 = 4,264.55 : x
  2. Step 2: Convert to fraction form
    7,849.62/10,832.42 = 4,264.55/x
  3. Step 3: Cross multiply
    7,849.62x = 10,832.42 × 4,264.55
  4. Step 4: Simplify right side
    7,849.62x = 46,195,396.71
  5. Step 5: Solve for x
    x = 46,195,396.71/7,849.62
  6. Step 6: Final answer
    x = 5,885.05

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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.