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Finding the Fourth Proportional to 7,712.99, 11,568.08 and 2,164.96

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Solution

The fourth proportional to 7,712.99, 11,568.08 and 2,164.96 is: 3,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.99 : 11,568.08 = 2,164.96 : x
  2. Step 2: Convert to fraction form
    7,712.99/11,568.08 = 2,164.96/x
  3. Step 3: Cross multiply
    7,712.99x = 11,568.08 × 2,164.96
  4. Step 4: Simplify right side
    7,712.99x = 25,044,450.35
  5. Step 5: Solve for x
    x = 25,044,450.35/7,712.99
  6. Step 6: Final answer
    x = 3,247.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.