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Finding the Fourth Proportional to 10,300.67, 14,215.80 and 5,825.22

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Solution

The fourth proportional to 10,300.67, 14,215.80 and 5,825.22 is: 8,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.67 : 14,215.80 = 5,825.22 : x
  2. Step 2: Convert to fraction form
    10,300.67/14,215.80 = 5,825.22/x
  3. Step 3: Cross multiply
    10,300.67x = 14,215.80 × 5,825.22
  4. Step 4: Simplify right side
    10,300.67x = 82,810,131.01
  5. Step 5: Solve for x
    x = 82,810,131.01/10,300.67
  6. Step 6: Final answer
    x = 8,039.30

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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.