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Finding the Fourth Proportional to 10,371.75, 14,313.20 and 5,656.20

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Solution

The fourth proportional to 10,371.75, 14,313.20 and 5,656.20 is: 7,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.75 : 14,313.20 = 5,656.20 : x
  2. Step 2: Convert to fraction form
    10,371.75/14,313.20 = 5,656.20/x
  3. Step 3: Cross multiply
    10,371.75x = 14,313.20 × 5,656.20
  4. Step 4: Simplify right side
    10,371.75x = 80,958,321.84
  5. Step 5: Solve for x
    x = 80,958,321.84/10,371.75
  6. Step 6: Final answer
    x = 7,805.66

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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.