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Finding the Fourth Proportional to 11,928.66, 17,892.99 and 3,164.26

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Solution

The fourth proportional to 11,928.66, 17,892.99 and 3,164.26 is: 4,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.66 : 17,892.99 = 3,164.26 : x
  2. Step 2: Convert to fraction form
    11,928.66/17,892.99 = 3,164.26/x
  3. Step 3: Cross multiply
    11,928.66x = 17,892.99 × 3,164.26
  4. Step 4: Simplify right side
    11,928.66x = 56,617,967.25
  5. Step 5: Solve for x
    x = 56,617,967.25/11,928.66
  6. Step 6: Final answer
    x = 4,746.38

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