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Finding the Fourth Proportional to 7,522.72, 11,286 and 4,768.96

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Solution

The fourth proportional to 7,522.72, 11,286 and 4,768.96 is: 7,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.72 : 11,286 = 4,768.96 : x
  2. Step 2: Convert to fraction form
    7,522.72/11,286 = 4,768.96/x
  3. Step 3: Cross multiply
    7,522.72x = 11,286 × 4,768.96
  4. Step 4: Simplify right side
    7,522.72x = 53,822,482.56
  5. Step 5: Solve for x
    x = 53,822,482.56/7,522.72
  6. Step 6: Final answer
    x = 7,154.66

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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.