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Finding the Fourth Proportional to 11,745.54, 16,208.80 and 6,440.69

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Solution

The fourth proportional to 11,745.54, 16,208.80 and 6,440.69 is: 8,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.54 : 16,208.80 = 6,440.69 : x
  2. Step 2: Convert to fraction form
    11,745.54/16,208.80 = 6,440.69/x
  3. Step 3: Cross multiply
    11,745.54x = 16,208.80 × 6,440.69
  4. Step 4: Simplify right side
    11,745.54x = 104,395,880.49
  5. Step 5: Solve for x
    x = 104,395,880.49/11,745.54
  6. Step 6: Final answer
    x = 8,888.13

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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.