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Finding the Fourth Proportional to 8,384.50, 12,577.08 and 2,838.40

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Solution

The fourth proportional to 8,384.50, 12,577.08 and 2,838.40 is: 4,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.50 : 12,577.08 = 2,838.40 : x
  2. Step 2: Convert to fraction form
    8,384.50/12,577.08 = 2,838.40/x
  3. Step 3: Cross multiply
    8,384.50x = 12,577.08 × 2,838.40
  4. Step 4: Simplify right side
    8,384.50x = 35,698,783.87
  5. Step 5: Solve for x
    x = 35,698,783.87/8,384.50
  6. Step 6: Final answer
    x = 4,257.71

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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.