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Finding the Fourth Proportional to 11,576, 15,977.04 and 6,608

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Solution

The fourth proportional to 11,576, 15,977.04 and 6,608 is: 9,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576 : 15,977.04 = 6,608 : x
  2. Step 2: Convert to fraction form
    11,576/15,977.04 = 6,608/x
  3. Step 3: Cross multiply
    11,576x = 15,977.04 × 6,608
  4. Step 4: Simplify right side
    11,576x = 105,576,280.32
  5. Step 5: Solve for x
    x = 105,576,280.32/11,576
  6. Step 6: Final answer
    x = 9,120.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.