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Finding the Fourth Proportional to 11,745.50, 16,208.80 and 6,777.50

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Solution

The fourth proportional to 11,745.50, 16,208.80 and 6,777.50 is: 9,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.50 : 16,208.80 = 6,777.50 : x
  2. Step 2: Convert to fraction form
    11,745.50/16,208.80 = 6,777.50/x
  3. Step 3: Cross multiply
    11,745.50x = 16,208.80 × 6,777.50
  4. Step 4: Simplify right side
    11,745.50x = 109,855,142
  5. Step 5: Solve for x
    x = 109,855,142/11,745.50
  6. Step 6: Final answer
    x = 9,352.96

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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.