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Finding the Fourth Proportional to 8,263.67, 11,370.02 and 7,141.01

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Solution

The fourth proportional to 8,263.67, 11,370.02 and 7,141.01 is: 9,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.67 : 11,370.02 = 7,141.01 : x
  2. Step 2: Convert to fraction form
    8,263.67/11,370.02 = 7,141.01/x
  3. Step 3: Cross multiply
    8,263.67x = 11,370.02 × 7,141.01
  4. Step 4: Simplify right side
    8,263.67x = 81,193,333.97
  5. Step 5: Solve for x
    x = 81,193,333.97/8,263.67
  6. Step 6: Final answer
    x = 9,825.34

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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.