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Finding the Fourth Proportional to 11,231.12, 16,846.60 and 8,768

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Solution

The fourth proportional to 11,231.12, 16,846.60 and 8,768 is: 13,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.12 : 16,846.60 = 8,768 : x
  2. Step 2: Convert to fraction form
    11,231.12/16,846.60 = 8,768/x
  3. Step 3: Cross multiply
    11,231.12x = 16,846.60 × 8,768
  4. Step 4: Simplify right side
    11,231.12x = 147,710,988.80
  5. Step 5: Solve for x
    x = 147,710,988.80/11,231.12
  6. Step 6: Final answer
    x = 13,151.94

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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.