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Finding the Fourth Proportional to 8,189.64, 12,215.61 and 7,645.32

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Solution

The fourth proportional to 8,189.64, 12,215.61 and 7,645.32 is: 11,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.64 : 12,215.61 = 7,645.32 : x
  2. Step 2: Convert to fraction form
    8,189.64/12,215.61 = 7,645.32/x
  3. Step 3: Cross multiply
    8,189.64x = 12,215.61 × 7,645.32
  4. Step 4: Simplify right side
    8,189.64x = 93,392,247.45
  5. Step 5: Solve for x
    x = 93,392,247.45/8,189.64
  6. Step 6: Final answer
    x = 11,403.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.