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Finding the Fourth Proportional to 8,313.47, 11,456.75 and 5,951.51

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Solution

The fourth proportional to 8,313.47, 11,456.75 and 5,951.51 is: 8,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.47 : 11,456.75 = 5,951.51 : x
  2. Step 2: Convert to fraction form
    8,313.47/11,456.75 = 5,951.51/x
  3. Step 3: Cross multiply
    8,313.47x = 11,456.75 × 5,951.51
  4. Step 4: Simplify right side
    8,313.47x = 68,184,919.79
  5. Step 5: Solve for x
    x = 68,184,919.79/8,313.47
  6. Step 6: Final answer
    x = 8,201.74

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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.