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Finding the Fourth Proportional to 7,930.56, 11,896 and 3,002.52

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Solution

The fourth proportional to 7,930.56, 11,896 and 3,002.52 is: 4,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.56 : 11,896 = 3,002.52 : x
  2. Step 2: Convert to fraction form
    7,930.56/11,896 = 3,002.52/x
  3. Step 3: Cross multiply
    7,930.56x = 11,896 × 3,002.52
  4. Step 4: Simplify right side
    7,930.56x = 35,717,977.92
  5. Step 5: Solve for x
    x = 35,717,977.92/7,930.56
  6. Step 6: Final answer
    x = 4,503.84

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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.