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Finding the Fourth Proportional to 10,174.92, 14,039.64 and 6,400.32

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Solution

The fourth proportional to 10,174.92, 14,039.64 and 6,400.32 is: 8,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.92 : 14,039.64 = 6,400.32 : x
  2. Step 2: Convert to fraction form
    10,174.92/14,039.64 = 6,400.32/x
  3. Step 3: Cross multiply
    10,174.92x = 14,039.64 × 6,400.32
  4. Step 4: Simplify right side
    10,174.92x = 89,858,188.68
  5. Step 5: Solve for x
    x = 89,858,188.68/10,174.92
  6. Step 6: Final answer
    x = 8,831.34

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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.