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Finding the Fourth Proportional to 7,852.62, 10,836.56 and 4,267.54

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Solution

The fourth proportional to 7,852.62, 10,836.56 and 4,267.54 is: 5,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.62 : 10,836.56 = 4,267.54 : x
  2. Step 2: Convert to fraction form
    7,852.62/10,836.56 = 4,267.54/x
  3. Step 3: Cross multiply
    7,852.62x = 10,836.56 × 4,267.54
  4. Step 4: Simplify right side
    7,852.62x = 46,245,453.26
  5. Step 5: Solve for x
    x = 46,245,453.26/7,852.62
  6. Step 6: Final answer
    x = 5,889.17

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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.