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Finding the Fourth Proportional to 7,745.34, 11,618.03 and 3,066.45

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Solution

The fourth proportional to 7,745.34, 11,618.03 and 3,066.45 is: 4,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.34 : 11,618.03 = 3,066.45 : x
  2. Step 2: Convert to fraction form
    7,745.34/11,618.03 = 3,066.45/x
  3. Step 3: Cross multiply
    7,745.34x = 11,618.03 × 3,066.45
  4. Step 4: Simplify right side
    7,745.34x = 35,626,092.76
  5. Step 5: Solve for x
    x = 35,626,092.76/7,745.34
  6. Step 6: Final answer
    x = 4,599.68

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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.