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Finding the Fourth Proportional to 7,889.44, 10,885.92 and 4,745.83

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Solution

The fourth proportional to 7,889.44, 10,885.92 and 4,745.83 is: 6,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.44 : 10,885.92 = 4,745.83 : x
  2. Step 2: Convert to fraction form
    7,889.44/10,885.92 = 4,745.83/x
  3. Step 3: Cross multiply
    7,889.44x = 10,885.92 × 4,745.83
  4. Step 4: Simplify right side
    7,889.44x = 51,662,701.98
  5. Step 5: Solve for x
    x = 51,662,701.98/7,889.44
  6. Step 6: Final answer
    x = 6,548.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.