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Finding the Fourth Proportional to 10,686.92, 14,745.62 and 6,208.37

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Solution

The fourth proportional to 10,686.92, 14,745.62 and 6,208.37 is: 8,566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.92 : 14,745.62 = 6,208.37 : x
  2. Step 2: Convert to fraction form
    10,686.92/14,745.62 = 6,208.37/x
  3. Step 3: Cross multiply
    10,686.92x = 14,745.62 × 6,208.37
  4. Step 4: Simplify right side
    10,686.92x = 91,546,160.07
  5. Step 5: Solve for x
    x = 91,546,160.07/10,686.92
  6. Step 6: Final answer
    x = 8,566.19

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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.