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Finding the Fourth Proportional to 11,578.08, 17,366.88 and 2,813.04

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Solution

The fourth proportional to 11,578.08, 17,366.88 and 2,813.04 is: 4,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.08 : 17,366.88 = 2,813.04 : x
  2. Step 2: Convert to fraction form
    11,578.08/17,366.88 = 2,813.04/x
  3. Step 3: Cross multiply
    11,578.08x = 17,366.88 × 2,813.04
  4. Step 4: Simplify right side
    11,578.08x = 48,853,728.12
  5. Step 5: Solve for x
    x = 48,853,728.12/11,578.08
  6. Step 6: Final answer
    x = 4,219.50

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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.