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Finding the Fourth Proportional to 11,357.66, 15,669.22 and 8,380.60

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Solution

The fourth proportional to 11,357.66, 15,669.22 and 8,380.60 is: 11,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.66 : 15,669.22 = 8,380.60 : x
  2. Step 2: Convert to fraction form
    11,357.66/15,669.22 = 8,380.60/x
  3. Step 3: Cross multiply
    11,357.66x = 15,669.22 × 8,380.60
  4. Step 4: Simplify right side
    11,357.66x = 131,317,465.13
  5. Step 5: Solve for x
    x = 131,317,465.13/11,357.66
  6. Step 6: Final answer
    x = 11,562.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.