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Finding the Fourth Proportional to 7,675.66, 11,494.05 and 4,745.08

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Solution

The fourth proportional to 7,675.66, 11,494.05 and 4,745.08 is: 7,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.66 : 11,494.05 = 4,745.08 : x
  2. Step 2: Convert to fraction form
    7,675.66/11,494.05 = 4,745.08/x
  3. Step 3: Cross multiply
    7,675.66x = 11,494.05 × 4,745.08
  4. Step 4: Simplify right side
    7,675.66x = 54,540,186.77
  5. Step 5: Solve for x
    x = 54,540,186.77/7,675.66
  6. Step 6: Final answer
    x = 7,105.60

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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.