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Finding the Fourth Proportional to 7,734.37, 11,602.16 and 3,054.06

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Solution

The fourth proportional to 7,734.37, 11,602.16 and 3,054.06 is: 4,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.37 : 11,602.16 = 3,054.06 : x
  2. Step 2: Convert to fraction form
    7,734.37/11,602.16 = 3,054.06/x
  3. Step 3: Cross multiply
    7,734.37x = 11,602.16 × 3,054.06
  4. Step 4: Simplify right side
    7,734.37x = 35,433,692.77
  5. Step 5: Solve for x
    x = 35,433,692.77/7,734.37
  6. Step 6: Final answer
    x = 4,581.33

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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.