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Finding the Fourth Proportional to 8,380.64, 11,645.48 and 8,289.51

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Solution

The fourth proportional to 8,380.64, 11,645.48 and 8,289.51 is: 11,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.64 : 11,645.48 = 8,289.51 : x
  2. Step 2: Convert to fraction form
    8,380.64/11,645.48 = 8,289.51/x
  3. Step 3: Cross multiply
    8,380.64x = 11,645.48 × 8,289.51
  4. Step 4: Simplify right side
    8,380.64x = 96,535,281.47
  5. Step 5: Solve for x
    x = 96,535,281.47/8,380.64
  6. Step 6: Final answer
    x = 11,518.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.