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Finding the Fourth Proportional to 11,699.28, 16,148.84 and 9,313.65

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Solution

The fourth proportional to 11,699.28, 16,148.84 and 9,313.65 is: 12,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.28 : 16,148.84 = 9,313.65 : x
  2. Step 2: Convert to fraction form
    11,699.28/16,148.84 = 9,313.65/x
  3. Step 3: Cross multiply
    11,699.28x = 16,148.84 × 9,313.65
  4. Step 4: Simplify right side
    11,699.28x = 150,404,597.10
  5. Step 5: Solve for x
    x = 150,404,597.10/11,699.28
  6. Step 6: Final answer
    x = 12,855.88

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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.