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Finding the Fourth Proportional to 7,984.51, 11,977.98 and 4,866.82

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Solution

The fourth proportional to 7,984.51, 11,977.98 and 4,866.82 is: 7,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.51 : 11,977.98 = 4,866.82 : x
  2. Step 2: Convert to fraction form
    7,984.51/11,977.98 = 4,866.82/x
  3. Step 3: Cross multiply
    7,984.51x = 11,977.98 × 4,866.82
  4. Step 4: Simplify right side
    7,984.51x = 58,294,672.62
  5. Step 5: Solve for x
    x = 58,294,672.62/7,984.51
  6. Step 6: Final answer
    x = 7,300.97

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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.