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Finding the Fourth Proportional to 10,244.94, 14,136.75 and 6,466.65

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Solution

The fourth proportional to 10,244.94, 14,136.75 and 6,466.65 is: 8,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.94 : 14,136.75 = 6,466.65 : x
  2. Step 2: Convert to fraction form
    10,244.94/14,136.75 = 6,466.65/x
  3. Step 3: Cross multiply
    10,244.94x = 14,136.75 × 6,466.65
  4. Step 4: Simplify right side
    10,244.94x = 91,417,414.39
  5. Step 5: Solve for x
    x = 91,417,414.39/10,244.94
  6. Step 6: Final answer
    x = 8,923.18

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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.