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Finding the Fourth Proportional to 7,454.81, 11,185.86 and 3,071.09

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Solution

The fourth proportional to 7,454.81, 11,185.86 and 3,071.09 is: 4,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.81 : 11,185.86 = 3,071.09 : x
  2. Step 2: Convert to fraction form
    7,454.81/11,185.86 = 3,071.09/x
  3. Step 3: Cross multiply
    7,454.81x = 11,185.86 × 3,071.09
  4. Step 4: Simplify right side
    7,454.81x = 34,352,782.79
  5. Step 5: Solve for x
    x = 34,352,782.79/7,454.81
  6. Step 6: Final answer
    x = 4,608.14

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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.