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Finding the Fourth Proportional to 10,279.28, 14,186.76 and 5,804

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Solution

The fourth proportional to 10,279.28, 14,186.76 and 5,804 is: 8,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.28 : 14,186.76 = 5,804 : x
  2. Step 2: Convert to fraction form
    10,279.28/14,186.76 = 5,804/x
  3. Step 3: Cross multiply
    10,279.28x = 14,186.76 × 5,804
  4. Step 4: Simplify right side
    10,279.28x = 82,339,955.04
  5. Step 5: Solve for x
    x = 82,339,955.04/10,279.28
  6. Step 6: Final answer
    x = 8,010.28

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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.