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Finding the Fourth Proportional to 8,427.51, 11,629.92 and 4,650.93

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Solution

The fourth proportional to 8,427.51, 11,629.92 and 4,650.93 is: 6,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.51 : 11,629.92 = 4,650.93 : x
  2. Step 2: Convert to fraction form
    8,427.51/11,629.92 = 4,650.93/x
  3. Step 3: Cross multiply
    8,427.51x = 11,629.92 × 4,650.93
  4. Step 4: Simplify right side
    8,427.51x = 54,089,943.83
  5. Step 5: Solve for x
    x = 54,089,943.83/8,427.51
  6. Step 6: Final answer
    x = 6,418.26

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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.