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Finding the Fourth Proportional to 5,886.22, 8,114.43 and 4,112.32

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Solution

The fourth proportional to 5,886.22, 8,114.43 and 4,112.32 is: 5,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.22 : 8,114.43 = 4,112.32 : x
  2. Step 2: Convert to fraction form
    5,886.22/8,114.43 = 4,112.32/x
  3. Step 3: Cross multiply
    5,886.22x = 8,114.43 × 4,112.32
  4. Step 4: Simplify right side
    5,886.22x = 33,369,132.78
  5. Step 5: Solve for x
    x = 33,369,132.78/5,886.22
  6. Step 6: Final answer
    x = 5,669.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.