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Finding the Fourth Proportional to 8,993.25, 13,493.78 and 4,828.40

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Solution

The fourth proportional to 8,993.25, 13,493.78 and 4,828.40 is: 7,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.25 : 13,493.78 = 4,828.40 : x
  2. Step 2: Convert to fraction form
    8,993.25/13,493.78 = 4,828.40/x
  3. Step 3: Cross multiply
    8,993.25x = 13,493.78 × 4,828.40
  4. Step 4: Simplify right side
    8,993.25x = 65,153,376.94
  5. Step 5: Solve for x
    x = 65,153,376.94/8,993.25
  6. Step 6: Final answer
    x = 7,244.69

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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.