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Finding the Fourth Proportional to 7,709.56, 11,548.67 and 6,152.20

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Solution

The fourth proportional to 7,709.56, 11,548.67 and 6,152.20 is: 9,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.56 : 11,548.67 = 6,152.20 : x
  2. Step 2: Convert to fraction form
    7,709.56/11,548.67 = 6,152.20/x
  3. Step 3: Cross multiply
    7,709.56x = 11,548.67 × 6,152.20
  4. Step 4: Simplify right side
    7,709.56x = 71,049,727.57
  5. Step 5: Solve for x
    x = 71,049,727.57/7,709.56
  6. Step 6: Final answer
    x = 9,215.80

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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.