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Finding the Fourth Proportional to 7,883.50, 11,825.25 and 3,266.62

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Solution

The fourth proportional to 7,883.50, 11,825.25 and 3,266.62 is: 4,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.50 : 11,825.25 = 3,266.62 : x
  2. Step 2: Convert to fraction form
    7,883.50/11,825.25 = 3,266.62/x
  3. Step 3: Cross multiply
    7,883.50x = 11,825.25 × 3,266.62
  4. Step 4: Simplify right side
    7,883.50x = 38,628,598.16
  5. Step 5: Solve for x
    x = 38,628,598.16/7,883.50
  6. Step 6: Final answer
    x = 4,899.93

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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.