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Finding the Fourth Proportional to 8,930.94, 13,384.74 and 4,982.04

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Solution

The fourth proportional to 8,930.94, 13,384.74 and 4,982.04 is: 7,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,930.94 : 13,384.74 = 4,982.04 : x
  2. Step 2: Convert to fraction form
    8,930.94/13,384.74 = 4,982.04/x
  3. Step 3: Cross multiply
    8,930.94x = 13,384.74 × 4,982.04
  4. Step 4: Simplify right side
    8,930.94x = 66,683,310.07
  5. Step 5: Solve for x
    x = 66,683,310.07/8,930.94
  6. Step 6: Final answer
    x = 7,466.55

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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.