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Finding the Fourth Proportional to 8,477.14, 12,708.22 and 3,208.49

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Solution

The fourth proportional to 8,477.14, 12,708.22 and 3,208.49 is: 4,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.14 : 12,708.22 = 3,208.49 : x
  2. Step 2: Convert to fraction form
    8,477.14/12,708.22 = 3,208.49/x
  3. Step 3: Cross multiply
    8,477.14x = 12,708.22 × 3,208.49
  4. Step 4: Simplify right side
    8,477.14x = 40,774,180.75
  5. Step 5: Solve for x
    x = 40,774,180.75/8,477.14
  6. Step 6: Final answer
    x = 4,809.90

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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.