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Finding the Fourth Proportional to 8,694, 11,999.34 and 4,968

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Solution

The fourth proportional to 8,694, 11,999.34 and 4,968 is: 6,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694 : 11,999.34 = 4,968 : x
  2. Step 2: Convert to fraction form
    8,694/11,999.34 = 4,968/x
  3. Step 3: Cross multiply
    8,694x = 11,999.34 × 4,968
  4. Step 4: Simplify right side
    8,694x = 59,612,721.12
  5. Step 5: Solve for x
    x = 59,612,721.12/8,694
  6. Step 6: Final answer
    x = 6,856.77

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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.