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Finding the Fourth Proportional to 7,757.65, 11,615.81 and 5,297.27

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Solution

The fourth proportional to 7,757.65, 11,615.81 and 5,297.27 is: 7,931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.65 : 11,615.81 = 5,297.27 : x
  2. Step 2: Convert to fraction form
    7,757.65/11,615.81 = 5,297.27/x
  3. Step 3: Cross multiply
    7,757.65x = 11,615.81 × 5,297.27
  4. Step 4: Simplify right side
    7,757.65x = 61,532,124.12
  5. Step 5: Solve for x
    x = 61,532,124.12/7,757.65
  6. Step 6: Final answer
    x = 7,931.80

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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.