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Finding the Fourth Proportional to 8,362, 11,539.92 and 5,004.17

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Solution

The fourth proportional to 8,362, 11,539.92 and 5,004.17 is: 6,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362 : 11,539.92 = 5,004.17 : x
  2. Step 2: Convert to fraction form
    8,362/11,539.92 = 5,004.17/x
  3. Step 3: Cross multiply
    8,362x = 11,539.92 × 5,004.17
  4. Step 4: Simplify right side
    8,362x = 57,747,721.47
  5. Step 5: Solve for x
    x = 57,747,721.47/8,362
  6. Step 6: Final answer
    x = 6,905.97

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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.