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Finding the Fourth Proportional to 7,227, 10,823.04 and 3,520.08

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Solution

The fourth proportional to 7,227, 10,823.04 and 3,520.08 is: 5,271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227 : 10,823.04 = 3,520.08 : x
  2. Step 2: Convert to fraction form
    7,227/10,823.04 = 3,520.08/x
  3. Step 3: Cross multiply
    7,227x = 10,823.04 × 3,520.08
  4. Step 4: Simplify right side
    7,227x = 38,097,966.64
  5. Step 5: Solve for x
    x = 38,097,966.64/7,227
  6. Step 6: Final answer
    x = 5,271.62

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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.