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Finding the Fourth Proportional to 10,240.92, 14,131.74 and 5,763.81

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Solution

The fourth proportional to 10,240.92, 14,131.74 and 5,763.81 is: 7,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,240.92 : 14,131.74 = 5,763.81 : x
  2. Step 2: Convert to fraction form
    10,240.92/14,131.74 = 5,763.81/x
  3. Step 3: Cross multiply
    10,240.92x = 14,131.74 × 5,763.81
  4. Step 4: Simplify right side
    10,240.92x = 81,452,664.33
  5. Step 5: Solve for x
    x = 81,452,664.33/10,240.92
  6. Step 6: Final answer
    x = 7,953.65

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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.