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Finding the Fourth Proportional to 8,120.98, 11,206.94 and 4,584.12

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Solution

The fourth proportional to 8,120.98, 11,206.94 and 4,584.12 is: 6,326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.98 : 11,206.94 = 4,584.12 : x
  2. Step 2: Convert to fraction form
    8,120.98/11,206.94 = 4,584.12/x
  3. Step 3: Cross multiply
    8,120.98x = 11,206.94 × 4,584.12
  4. Step 4: Simplify right side
    8,120.98x = 51,373,957.79
  5. Step 5: Solve for x
    x = 51,373,957.79/8,120.98
  6. Step 6: Final answer
    x = 6,326.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.