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Finding the Fourth Proportional to 7,984, 11,977.92 and 5,668.48

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Solution

The fourth proportional to 7,984, 11,977.92 and 5,668.48 is: 8,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984 : 11,977.92 = 5,668.48 : x
  2. Step 2: Convert to fraction form
    7,984/11,977.92 = 5,668.48/x
  3. Step 3: Cross multiply
    7,984x = 11,977.92 × 5,668.48
  4. Step 4: Simplify right side
    7,984x = 67,896,599.96
  5. Step 5: Solve for x
    x = 67,896,599.96/7,984
  6. Step 6: Final answer
    x = 8,504.08

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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.