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Finding the Fourth Proportional to 27,787.03, 41,684.64 and 8,063.02

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Solution

The fourth proportional to 27,787.03, 41,684.64 and 8,063.02 is: 12,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787.03 : 41,684.64 = 8,063.02 : x
  2. Step 2: Convert to fraction form
    27,787.03/41,684.64 = 8,063.02/x
  3. Step 3: Cross multiply
    27,787.03x = 41,684.64 × 8,063.02
  4. Step 4: Simplify right side
    27,787.03x = 336,103,981.80
  5. Step 5: Solve for x
    x = 336,103,981.80/27,787.03
  6. Step 6: Final answer
    x = 12,095.72

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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.