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Finding the Fourth Proportional to 7,977.49, 11,967.97 and 3,048.54

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Solution

The fourth proportional to 7,977.49, 11,967.97 and 3,048.54 is: 4,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.49 : 11,967.97 = 3,048.54 : x
  2. Step 2: Convert to fraction form
    7,977.49/11,967.97 = 3,048.54/x
  3. Step 3: Cross multiply
    7,977.49x = 11,967.97 × 3,048.54
  4. Step 4: Simplify right side
    7,977.49x = 36,484,835.26
  5. Step 5: Solve for x
    x = 36,484,835.26/7,977.49
  6. Step 6: Final answer
    x = 4,573.47

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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.