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Finding the Fourth Proportional to 10,379.12, 14,323.18 and 5,663.44

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Solution

The fourth proportional to 10,379.12, 14,323.18 and 5,663.44 is: 7,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.12 : 14,323.18 = 5,663.44 : x
  2. Step 2: Convert to fraction form
    10,379.12/14,323.18 = 5,663.44/x
  3. Step 3: Cross multiply
    10,379.12x = 14,323.18 × 5,663.44
  4. Step 4: Simplify right side
    10,379.12x = 81,118,470.54
  5. Step 5: Solve for x
    x = 81,118,470.54/10,379.12
  6. Step 6: Final answer
    x = 7,815.54

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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.