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Finding the Fourth Proportional to 7,792.02, 11,631.50 and 7,213.88

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Solution

The fourth proportional to 7,792.02, 11,631.50 and 7,213.88 is: 10,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.02 : 11,631.50 = 7,213.88 : x
  2. Step 2: Convert to fraction form
    7,792.02/11,631.50 = 7,213.88/x
  3. Step 3: Cross multiply
    7,792.02x = 11,631.50 × 7,213.88
  4. Step 4: Simplify right side
    7,792.02x = 83,908,245.22
  5. Step 5: Solve for x
    x = 83,908,245.22/7,792.02
  6. Step 6: Final answer
    x = 10,768.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.