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Finding the Fourth Proportional to 7,722.75, 11,576.18 and 3,040.86

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Solution

The fourth proportional to 7,722.75, 11,576.18 and 3,040.86 is: 4,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.75 : 11,576.18 = 3,040.86 : x
  2. Step 2: Convert to fraction form
    7,722.75/11,576.18 = 3,040.86/x
  3. Step 3: Cross multiply
    7,722.75x = 11,576.18 × 3,040.86
  4. Step 4: Simplify right side
    7,722.75x = 35,201,527.51
  5. Step 5: Solve for x
    x = 35,201,527.51/7,722.75
  6. Step 6: Final answer
    x = 4,558.16

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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.