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Finding the Fourth Proportional to 10,321.75, 14,244.02 and 5,606.13

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Solution

The fourth proportional to 10,321.75, 14,244.02 and 5,606.13 is: 7,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.75 : 14,244.02 = 5,606.13 : x
  2. Step 2: Convert to fraction form
    10,321.75/14,244.02 = 5,606.13/x
  3. Step 3: Cross multiply
    10,321.75x = 14,244.02 × 5,606.13
  4. Step 4: Simplify right side
    10,321.75x = 79,853,827.84
  5. Step 5: Solve for x
    x = 79,853,827.84/10,321.75
  6. Step 6: Final answer
    x = 7,736.46

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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.