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Finding the Fourth Proportional to 10,832.96, 16,244.57 and 4,986.38

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Solution

The fourth proportional to 10,832.96, 16,244.57 and 4,986.38 is: 7,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.96 : 16,244.57 = 4,986.38 : x
  2. Step 2: Convert to fraction form
    10,832.96/16,244.57 = 4,986.38/x
  3. Step 3: Cross multiply
    10,832.96x = 16,244.57 × 4,986.38
  4. Step 4: Simplify right side
    10,832.96x = 81,001,492.80
  5. Step 5: Solve for x
    x = 81,001,492.80/10,832.96
  6. Step 6: Final answer
    x = 7,477.32

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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.