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Finding the Fourth Proportional to 8,584.63, 11,849.13 and 5,048.98

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Solution

The fourth proportional to 8,584.63, 11,849.13 and 5,048.98 is: 6,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.63 : 11,849.13 = 5,048.98 : x
  2. Step 2: Convert to fraction form
    8,584.63/11,849.13 = 5,048.98/x
  3. Step 3: Cross multiply
    8,584.63x = 11,849.13 × 5,048.98
  4. Step 4: Simplify right side
    8,584.63x = 59,825,990.76
  5. Step 5: Solve for x
    x = 59,825,990.76/8,584.63
  6. Step 6: Final answer
    x = 6,968.97

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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.