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Finding the Fourth Proportional to 8,383.70, 12,577.16 and 3,189.16

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Solution

The fourth proportional to 8,383.70, 12,577.16 and 3,189.16 is: 4,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.70 : 12,577.16 = 3,189.16 : x
  2. Step 2: Convert to fraction form
    8,383.70/12,577.16 = 3,189.16/x
  3. Step 3: Cross multiply
    8,383.70x = 12,577.16 × 3,189.16
  4. Step 4: Simplify right side
    8,383.70x = 40,110,575.59
  5. Step 5: Solve for x
    x = 40,110,575.59/8,383.70
  6. Step 6: Final answer
    x = 4,784.35

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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.