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Finding the Fourth Proportional to 10,638.49, 14,680.07 and 5,923.21

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Solution

The fourth proportional to 10,638.49, 14,680.07 and 5,923.21 is: 8,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.49 : 14,680.07 = 5,923.21 : x
  2. Step 2: Convert to fraction form
    10,638.49/14,680.07 = 5,923.21/x
  3. Step 3: Cross multiply
    10,638.49x = 14,680.07 × 5,923.21
  4. Step 4: Simplify right side
    10,638.49x = 86,953,107.81
  5. Step 5: Solve for x
    x = 86,953,107.81/10,638.49
  6. Step 6: Final answer
    x = 8,173.44

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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.