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Finding the Fourth Proportional to 8,929.50, 13,392.42 and 3,087.78

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Solution

The fourth proportional to 8,929.50, 13,392.42 and 3,087.78 is: 4,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,929.50 : 13,392.42 = 3,087.78 : x
  2. Step 2: Convert to fraction form
    8,929.50/13,392.42 = 3,087.78/x
  3. Step 3: Cross multiply
    8,929.50x = 13,392.42 × 3,087.78
  4. Step 4: Simplify right side
    8,929.50x = 41,352,846.63
  5. Step 5: Solve for x
    x = 41,352,846.63/8,929.50
  6. Step 6: Final answer
    x = 4,631.04

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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.