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Finding the Fourth Proportional to 11,899.14, 17,856.78 and 6,356.46

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Solution

The fourth proportional to 11,899.14, 17,856.78 and 6,356.46 is: 9,539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.14 : 17,856.78 = 6,356.46 : x
  2. Step 2: Convert to fraction form
    11,899.14/17,856.78 = 6,356.46/x
  3. Step 3: Cross multiply
    11,899.14x = 17,856.78 × 6,356.46
  4. Step 4: Simplify right side
    11,899.14x = 113,505,907.80
  5. Step 5: Solve for x
    x = 113,505,907.80/11,899.14
  6. Step 6: Final answer
    x = 9,539.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.