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Finding the Fourth Proportional to 10,814.44, 14,922.66 and 6,098.44

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Solution

The fourth proportional to 10,814.44, 14,922.66 and 6,098.44 is: 8,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.44 : 14,922.66 = 6,098.44 : x
  2. Step 2: Convert to fraction form
    10,814.44/14,922.66 = 6,098.44/x
  3. Step 3: Cross multiply
    10,814.44x = 14,922.66 × 6,098.44
  4. Step 4: Simplify right side
    10,814.44x = 91,004,946.65
  5. Step 5: Solve for x
    x = 91,004,946.65/10,814.44
  6. Step 6: Final answer
    x = 8,415.13

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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.