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Finding the Fourth Proportional to 11,048.85, 16,548.98 and 8,564.18

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Solution

The fourth proportional to 11,048.85, 16,548.98 and 8,564.18 is: 12,827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048.85 : 16,548.98 = 8,564.18 : x
  2. Step 2: Convert to fraction form
    11,048.85/16,548.98 = 8,564.18/x
  3. Step 3: Cross multiply
    11,048.85x = 16,548.98 × 8,564.18
  4. Step 4: Simplify right side
    11,048.85x = 141,728,317.97
  5. Step 5: Solve for x
    x = 141,728,317.97/11,048.85
  6. Step 6: Final answer
    x = 12,827.43

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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.