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Finding the Fourth Proportional to 8,257.94, 12,365.75 and 4,556.06

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Solution

The fourth proportional to 8,257.94, 12,365.75 and 4,556.06 is: 6,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.94 : 12,365.75 = 4,556.06 : x
  2. Step 2: Convert to fraction form
    8,257.94/12,365.75 = 4,556.06/x
  3. Step 3: Cross multiply
    8,257.94x = 12,365.75 × 4,556.06
  4. Step 4: Simplify right side
    8,257.94x = 56,339,048.51
  5. Step 5: Solve for x
    x = 56,339,048.51/8,257.94
  6. Step 6: Final answer
    x = 6,822.41

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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.