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Finding the Fourth Proportional to 7,209, 10,794.06 and 4,084.43

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Solution

The fourth proportional to 7,209, 10,794.06 and 4,084.43 is: 6,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209 : 10,794.06 = 4,084.43 : x
  2. Step 2: Convert to fraction form
    7,209/10,794.06 = 4,084.43/x
  3. Step 3: Cross multiply
    7,209x = 10,794.06 × 4,084.43
  4. Step 4: Simplify right side
    7,209x = 44,087,528.52
  5. Step 5: Solve for x
    x = 44,087,528.52/7,209
  6. Step 6: Final answer
    x = 6,115.62

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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.