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Finding the Fourth Proportional to 11,554.75, 15,945.56 and 7,365.43

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Solution

The fourth proportional to 11,554.75, 15,945.56 and 7,365.43 is: 10,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.75 : 15,945.56 = 7,365.43 : x
  2. Step 2: Convert to fraction form
    11,554.75/15,945.56 = 7,365.43/x
  3. Step 3: Cross multiply
    11,554.75x = 15,945.56 × 7,365.43
  4. Step 4: Simplify right side
    11,554.75x = 117,445,905.99
  5. Step 5: Solve for x
    x = 117,445,905.99/11,554.75
  6. Step 6: Final answer
    x = 10,164.30

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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.