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Finding the Fourth Proportional to 8,086.64, 12,129.72 and 7,605.68

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Solution

The fourth proportional to 8,086.64, 12,129.72 and 7,605.68 is: 11,408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.64 : 12,129.72 = 7,605.68 : x
  2. Step 2: Convert to fraction form
    8,086.64/12,129.72 = 7,605.68/x
  3. Step 3: Cross multiply
    8,086.64x = 12,129.72 × 7,605.68
  4. Step 4: Simplify right side
    8,086.64x = 92,254,768.81
  5. Step 5: Solve for x
    x = 92,254,768.81/8,086.64
  6. Step 6: Final answer
    x = 11,408.29

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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.