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Finding the Fourth Proportional to 7,931.36, 11,898 and 7,494.56

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Solution

The fourth proportional to 7,931.36, 11,898 and 7,494.56 is: 11,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.36 : 11,898 = 7,494.56 : x
  2. Step 2: Convert to fraction form
    7,931.36/11,898 = 7,494.56/x
  3. Step 3: Cross multiply
    7,931.36x = 11,898 × 7,494.56
  4. Step 4: Simplify right side
    7,931.36x = 89,170,274.88
  5. Step 5: Solve for x
    x = 89,170,274.88/7,931.36
  6. Step 6: Final answer
    x = 11,242.75

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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.