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Finding the Fourth Proportional to 11,426.65, 17,143.86 and 6,162.16

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Solution

The fourth proportional to 11,426.65, 17,143.86 and 6,162.16 is: 9,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.65 : 17,143.86 = 6,162.16 : x
  2. Step 2: Convert to fraction form
    11,426.65/17,143.86 = 6,162.16/x
  3. Step 3: Cross multiply
    11,426.65x = 17,143.86 × 6,162.16
  4. Step 4: Simplify right side
    11,426.65x = 105,643,208.34
  5. Step 5: Solve for x
    x = 105,643,208.34/11,426.65
  6. Step 6: Final answer
    x = 9,245.34

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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.