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Finding the Fourth Proportional to 11,774.94, 17,662.39 and 7,395.47

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Solution

The fourth proportional to 11,774.94, 17,662.39 and 7,395.47 is: 11,093.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.94 : 17,662.39 = 7,395.47 : x
  2. Step 2: Convert to fraction form
    11,774.94/17,662.39 = 7,395.47/x
  3. Step 3: Cross multiply
    11,774.94x = 17,662.39 × 7,395.47
  4. Step 4: Simplify right side
    11,774.94x = 130,621,634.81
  5. Step 5: Solve for x
    x = 130,621,634.81/11,774.94
  6. Step 6: Final answer
    x = 11,093.19

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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.