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Finding the Fourth Proportional to 11,825.56, 17,740.06 and 6,277.48

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Solution

The fourth proportional to 11,825.56, 17,740.06 and 6,277.48 is: 9,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.56 : 17,740.06 = 6,277.48 : x
  2. Step 2: Convert to fraction form
    11,825.56/17,740.06 = 6,277.48/x
  3. Step 3: Cross multiply
    11,825.56x = 17,740.06 × 6,277.48
  4. Step 4: Simplify right side
    11,825.56x = 111,362,871.85
  5. Step 5: Solve for x
    x = 111,362,871.85/11,825.56
  6. Step 6: Final answer
    x = 9,417.13

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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.