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Finding the Fourth Proportional to 10,279.63, 14,185.79 and 5,803.28

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Solution

The fourth proportional to 10,279.63, 14,185.79 and 5,803.28 is: 8,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.63 : 14,185.79 = 5,803.28 : x
  2. Step 2: Convert to fraction form
    10,279.63/14,185.79 = 5,803.28/x
  3. Step 3: Cross multiply
    10,279.63x = 14,185.79 × 5,803.28
  4. Step 4: Simplify right side
    10,279.63x = 82,324,086.40
  5. Step 5: Solve for x
    x = 82,324,086.40/10,279.63
  6. Step 6: Final answer
    x = 8,008.47

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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.