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Finding the Fourth Proportional to 11,823.58, 17,741.58 and 5,254.48

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Solution

The fourth proportional to 11,823.58, 17,741.58 and 5,254.48 is: 7,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.58 : 17,741.58 = 5,254.48 : x
  2. Step 2: Convert to fraction form
    11,823.58/17,741.58 = 5,254.48/x
  3. Step 3: Cross multiply
    11,823.58x = 17,741.58 × 5,254.48
  4. Step 4: Simplify right side
    11,823.58x = 93,222,777.28
  5. Step 5: Solve for x
    x = 93,222,777.28/11,823.58
  6. Step 6: Final answer
    x = 7,884.48

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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.