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Finding the Fourth Proportional to 11,628.16, 17,437.68 and 5,049.84

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Solution

The fourth proportional to 11,628.16, 17,437.68 and 5,049.84 is: 7,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.16 : 17,437.68 = 5,049.84 : x
  2. Step 2: Convert to fraction form
    11,628.16/17,437.68 = 5,049.84/x
  3. Step 3: Cross multiply
    11,628.16x = 17,437.68 × 5,049.84
  4. Step 4: Simplify right side
    11,628.16x = 88,057,559.36
  5. Step 5: Solve for x
    x = 88,057,559.36/11,628.16
  6. Step 6: Final answer
    x = 7,572.79

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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.