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Finding the Fourth Proportional to 11,179.51, 15,433.82 and 7,832.59

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Solution

The fourth proportional to 11,179.51, 15,433.82 and 7,832.59 is: 10,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,179.51 : 15,433.82 = 7,832.59 : x
  2. Step 2: Convert to fraction form
    11,179.51/15,433.82 = 7,832.59/x
  3. Step 3: Cross multiply
    11,179.51x = 15,433.82 × 7,832.59
  4. Step 4: Simplify right side
    11,179.51x = 120,886,784.19
  5. Step 5: Solve for x
    x = 120,886,784.19/11,179.51
  6. Step 6: Final answer
    x = 10,813.25

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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.