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Finding the Fourth Proportional to 11,475.26, 15,839.81 and 7,233.47

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Solution

The fourth proportional to 11,475.26, 15,839.81 and 7,233.47 is: 9,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.26 : 15,839.81 = 7,233.47 : x
  2. Step 2: Convert to fraction form
    11,475.26/15,839.81 = 7,233.47/x
  3. Step 3: Cross multiply
    11,475.26x = 15,839.81 × 7,233.47
  4. Step 4: Simplify right side
    11,475.26x = 114,576,675.07
  5. Step 5: Solve for x
    x = 114,576,675.07/11,475.26
  6. Step 6: Final answer
    x = 9,984.67

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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.