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Finding the Fourth Proportional to 7,438.36, 10,266.80 and 5,052.37

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Solution

The fourth proportional to 7,438.36, 10,266.80 and 5,052.37 is: 6,973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.36 : 10,266.80 = 5,052.37 : x
  2. Step 2: Convert to fraction form
    7,438.36/10,266.80 = 5,052.37/x
  3. Step 3: Cross multiply
    7,438.36x = 10,266.80 × 5,052.37
  4. Step 4: Simplify right side
    7,438.36x = 51,871,672.32
  5. Step 5: Solve for x
    x = 51,871,672.32/7,438.36
  6. Step 6: Final answer
    x = 6,973.54

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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.