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Finding the Fourth Proportional to 11,652.72, 17,469.84 and 6,105

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Solution

The fourth proportional to 11,652.72, 17,469.84 and 6,105 is: 9,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.72 : 17,469.84 = 6,105 : x
  2. Step 2: Convert to fraction form
    11,652.72/17,469.84 = 6,105/x
  3. Step 3: Cross multiply
    11,652.72x = 17,469.84 × 6,105
  4. Step 4: Simplify right side
    11,652.72x = 106,653,373.20
  5. Step 5: Solve for x
    x = 106,653,373.20/11,652.72
  6. Step 6: Final answer
    x = 9,152.66

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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.