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Finding the Fourth Proportional to 10,252.44, 15,373.19 and 5,309.82

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Solution

The fourth proportional to 10,252.44, 15,373.19 and 5,309.82 is: 7,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.44 : 15,373.19 = 5,309.82 : x
  2. Step 2: Convert to fraction form
    10,252.44/15,373.19 = 5,309.82/x
  3. Step 3: Cross multiply
    10,252.44x = 15,373.19 × 5,309.82
  4. Step 4: Simplify right side
    10,252.44x = 81,628,797.48
  5. Step 5: Solve for x
    x = 81,628,797.48/10,252.44
  6. Step 6: Final answer
    x = 7,961.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.