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Finding the Fourth Proportional to 11,556.80, 15,945.60 and 6,842.24

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Solution

The fourth proportional to 11,556.80, 15,945.60 and 6,842.24 is: 9,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.80 : 15,945.60 = 6,842.24 : x
  2. Step 2: Convert to fraction form
    11,556.80/15,945.60 = 6,842.24/x
  3. Step 3: Cross multiply
    11,556.80x = 15,945.60 × 6,842.24
  4. Step 4: Simplify right side
    11,556.80x = 109,103,622.14
  5. Step 5: Solve for x
    x = 109,103,622.14/11,556.80
  6. Step 6: Final answer
    x = 9,440.64

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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.