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Finding the Fourth Proportional to 11,098.40, 16,647.12 and 6,164.89

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Solution

The fourth proportional to 11,098.40, 16,647.12 and 6,164.89 is: 9,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.40 : 16,647.12 = 6,164.89 : x
  2. Step 2: Convert to fraction form
    11,098.40/16,647.12 = 6,164.89/x
  3. Step 3: Cross multiply
    11,098.40x = 16,647.12 × 6,164.89
  4. Step 4: Simplify right side
    11,098.40x = 102,627,622.00
  5. Step 5: Solve for x
    x = 102,627,622.00/11,098.40
  6. Step 6: Final answer
    x = 9,247.07

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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.