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Finding the Fourth Proportional to 7,355.50, 11,033.25 and 1,883.50

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Solution

The fourth proportional to 7,355.50, 11,033.25 and 1,883.50 is: 2,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.50 : 11,033.25 = 1,883.50 : x
  2. Step 2: Convert to fraction form
    7,355.50/11,033.25 = 1,883.50/x
  3. Step 3: Cross multiply
    7,355.50x = 11,033.25 × 1,883.50
  4. Step 4: Simplify right side
    7,355.50x = 20,781,126.38
  5. Step 5: Solve for x
    x = 20,781,126.38/7,355.50
  6. Step 6: Final answer
    x = 2,825.25

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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.