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Finding the Fourth Proportional to 11,230.53, 16,851.87 and 5,690.13

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Solution

The fourth proportional to 11,230.53, 16,851.87 and 5,690.13 is: 8,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.53 : 16,851.87 = 5,690.13 : x
  2. Step 2: Convert to fraction form
    11,230.53/16,851.87 = 5,690.13/x
  3. Step 3: Cross multiply
    11,230.53x = 16,851.87 × 5,690.13
  4. Step 4: Simplify right side
    11,230.53x = 95,889,331.04
  5. Step 5: Solve for x
    x = 95,889,331.04/11,230.53
  6. Step 6: Final answer
    x = 8,538.27

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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.