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Finding the Fourth Proportional to 11,823.87, 17,741.88 and 7,155.03

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Solution

The fourth proportional to 11,823.87, 17,741.88 and 7,155.03 is: 10,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.87 : 17,741.88 = 7,155.03 : x
  2. Step 2: Convert to fraction form
    11,823.87/17,741.88 = 7,155.03/x
  3. Step 3: Cross multiply
    11,823.87x = 17,741.88 × 7,155.03
  4. Step 4: Simplify right side
    11,823.87x = 126,943,683.66
  5. Step 5: Solve for x
    x = 126,943,683.66/11,823.87
  6. Step 6: Final answer
    x = 10,736.22

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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.