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Finding the Fourth Proportional to 8,280, 12,411.75 and 3,889.68

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Solution

The fourth proportional to 8,280, 12,411.75 and 3,889.68 is: 5,830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280 : 12,411.75 = 3,889.68 : x
  2. Step 2: Convert to fraction form
    8,280/12,411.75 = 3,889.68/x
  3. Step 3: Cross multiply
    8,280x = 12,411.75 × 3,889.68
  4. Step 4: Simplify right side
    8,280x = 48,277,735.74
  5. Step 5: Solve for x
    x = 48,277,735.74/8,280
  6. Step 6: Final answer
    x = 5,830.64

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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.