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Finding the Fourth Proportional to 11,164.96, 16,739.92 and 5,894.40

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Solution

The fourth proportional to 11,164.96, 16,739.92 and 5,894.40 is: 8,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.96 : 16,739.92 = 5,894.40 : x
  2. Step 2: Convert to fraction form
    11,164.96/16,739.92 = 5,894.40/x
  3. Step 3: Cross multiply
    11,164.96x = 16,739.92 × 5,894.40
  4. Step 4: Simplify right side
    11,164.96x = 98,671,784.45
  5. Step 5: Solve for x
    x = 98,671,784.45/11,164.96
  6. Step 6: Final answer
    x = 8,837.63

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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.