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Finding the Fourth Proportional to 8,930, 13,392.42 and 3,006.24

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Solution

The fourth proportional to 8,930, 13,392.42 and 3,006.24 is: 4,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,930 : 13,392.42 = 3,006.24 : x
  2. Step 2: Convert to fraction form
    8,930/13,392.42 = 3,006.24/x
  3. Step 3: Cross multiply
    8,930x = 13,392.42 × 3,006.24
  4. Step 4: Simplify right side
    8,930x = 40,260,828.70
  5. Step 5: Solve for x
    x = 40,260,828.70/8,930
  6. Step 6: Final answer
    x = 4,508.49

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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.