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Finding the Fourth Proportional to 8,369.29, 11,549.51 and 4,832.42

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Solution

The fourth proportional to 8,369.29, 11,549.51 and 4,832.42 is: 6,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.29 : 11,549.51 = 4,832.42 : x
  2. Step 2: Convert to fraction form
    8,369.29/11,549.51 = 4,832.42/x
  3. Step 3: Cross multiply
    8,369.29x = 11,549.51 × 4,832.42
  4. Step 4: Simplify right side
    8,369.29x = 55,812,083.11
  5. Step 5: Solve for x
    x = 55,812,083.11/8,369.29
  6. Step 6: Final answer
    x = 6,668.68

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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.