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Finding the Fourth Proportional to 11,468.64, 17,203.54 and 3,576.54

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Solution

The fourth proportional to 11,468.64, 17,203.54 and 3,576.54 is: 5,364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.64 : 17,203.54 = 3,576.54 : x
  2. Step 2: Convert to fraction form
    11,468.64/17,203.54 = 3,576.54/x
  3. Step 3: Cross multiply
    11,468.64x = 17,203.54 × 3,576.54
  4. Step 4: Simplify right side
    11,468.64x = 61,529,148.95
  5. Step 5: Solve for x
    x = 61,529,148.95/11,468.64
  6. Step 6: Final answer
    x = 5,364.99

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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.