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Finding the Fourth Proportional to 10,279.60, 14,185.92 and 5,563.92

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Solution

The fourth proportional to 10,279.60, 14,185.92 and 5,563.92 is: 7,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.60 : 14,185.92 = 5,563.92 : x
  2. Step 2: Convert to fraction form
    10,279.60/14,185.92 = 5,563.92/x
  3. Step 3: Cross multiply
    10,279.60x = 14,185.92 × 5,563.92
  4. Step 4: Simplify right side
    10,279.60x = 78,929,324.01
  5. Step 5: Solve for x
    x = 78,929,324.01/10,279.60
  6. Step 6: Final answer
    x = 7,678.25

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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.