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Finding the Fourth Proportional to 11,488.94, 17,233.41 and 3,280.94

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Solution

The fourth proportional to 11,488.94, 17,233.41 and 3,280.94 is: 4,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.94 : 17,233.41 = 3,280.94 : x
  2. Step 2: Convert to fraction form
    11,488.94/17,233.41 = 3,280.94/x
  3. Step 3: Cross multiply
    11,488.94x = 17,233.41 × 3,280.94
  4. Step 4: Simplify right side
    11,488.94x = 56,541,784.21
  5. Step 5: Solve for x
    x = 56,541,784.21/11,488.94
  6. Step 6: Final answer
    x = 4,921.41

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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.