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Finding the Fourth Proportional to 11,832.31, 16,328.01 and 7,115.68

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Solution

The fourth proportional to 11,832.31, 16,328.01 and 7,115.68 is: 9,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.31 : 16,328.01 = 7,115.68 : x
  2. Step 2: Convert to fraction form
    11,832.31/16,328.01 = 7,115.68/x
  3. Step 3: Cross multiply
    11,832.31x = 16,328.01 × 7,115.68
  4. Step 4: Simplify right side
    11,832.31x = 116,184,894.20
  5. Step 5: Solve for x
    x = 116,184,894.20/11,832.31
  6. Step 6: Final answer
    x = 9,819.29

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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.