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Finding the Fourth Proportional to 7,745.22, 10,688.00 and 4,208.42

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Solution

The fourth proportional to 7,745.22, 10,688.00 and 4,208.42 is: 5,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.22 : 10,688.00 = 4,208.42 : x
  2. Step 2: Convert to fraction form
    7,745.22/10,688.00 = 4,208.42/x
  3. Step 3: Cross multiply
    7,745.22x = 10,688.00 × 4,208.42
  4. Step 4: Simplify right side
    7,745.22x = 44,979,518.48
  5. Step 5: Solve for x
    x = 44,979,518.48/7,745.22
  6. Step 6: Final answer
    x = 5,807.39

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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.