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Finding the Fourth Proportional to 11,072.90, 16,581.98 and 8,254.98

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Solution

The fourth proportional to 11,072.90, 16,581.98 and 8,254.98 is: 12,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.90 : 16,581.98 = 8,254.98 : x
  2. Step 2: Convert to fraction form
    11,072.90/16,581.98 = 8,254.98/x
  3. Step 3: Cross multiply
    11,072.90x = 16,581.98 × 8,254.98
  4. Step 4: Simplify right side
    11,072.90x = 136,883,913.26
  5. Step 5: Solve for x
    x = 136,883,913.26/11,072.90
  6. Step 6: Final answer
    x = 12,362.07

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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.