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Finding the Fourth Proportional to 11,357.09, 15,666.14 and 7,380.85

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Solution

The fourth proportional to 11,357.09, 15,666.14 and 7,380.85 is: 10,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.09 : 15,666.14 = 7,380.85 : x
  2. Step 2: Convert to fraction form
    11,357.09/15,666.14 = 7,380.85/x
  3. Step 3: Cross multiply
    11,357.09x = 15,666.14 × 7,380.85
  4. Step 4: Simplify right side
    11,357.09x = 115,629,367.19
  5. Step 5: Solve for x
    x = 115,629,367.19/11,357.09
  6. Step 6: Final answer
    x = 10,181.25

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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.