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Finding the Fourth Proportional to 8,420.31, 11,620.59 and 4,643.48

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Solution

The fourth proportional to 8,420.31, 11,620.59 and 4,643.48 is: 6,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.31 : 11,620.59 = 4,643.48 : x
  2. Step 2: Convert to fraction form
    8,420.31/11,620.59 = 4,643.48/x
  3. Step 3: Cross multiply
    8,420.31x = 11,620.59 × 4,643.48
  4. Step 4: Simplify right side
    8,420.31x = 53,959,919.15
  5. Step 5: Solve for x
    x = 53,959,919.15/8,420.31
  6. Step 6: Final answer
    x = 6,408.31

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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.