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Finding the Fourth Proportional to 11,283.10, 15,571.44 and 6,567.38

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Solution

The fourth proportional to 11,283.10, 15,571.44 and 6,567.38 is: 9,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.10 : 15,571.44 = 6,567.38 : x
  2. Step 2: Convert to fraction form
    11,283.10/15,571.44 = 6,567.38/x
  3. Step 3: Cross multiply
    11,283.10x = 15,571.44 × 6,567.38
  4. Step 4: Simplify right side
    11,283.10x = 102,263,544.16
  5. Step 5: Solve for x
    x = 102,263,544.16/11,283.10
  6. Step 6: Final answer
    x = 9,063.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.