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Finding the Fourth Proportional to 8,511.23, 11,745.32 and 4,734.31

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Solution

The fourth proportional to 8,511.23, 11,745.32 and 4,734.31 is: 6,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.23 : 11,745.32 = 4,734.31 : x
  2. Step 2: Convert to fraction form
    8,511.23/11,745.32 = 4,734.31/x
  3. Step 3: Cross multiply
    8,511.23x = 11,745.32 × 4,734.31
  4. Step 4: Simplify right side
    8,511.23x = 55,605,985.93
  5. Step 5: Solve for x
    x = 55,605,985.93/8,511.23
  6. Step 6: Final answer
    x = 6,533.25

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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.