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Finding the Fourth Proportional to 11,728.60, 17,577.86 and 4,794.84

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Solution

The fourth proportional to 11,728.60, 17,577.86 and 4,794.84 is: 7,186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.60 : 17,577.86 = 4,794.84 : x
  2. Step 2: Convert to fraction form
    11,728.60/17,577.86 = 4,794.84/x
  3. Step 3: Cross multiply
    11,728.60x = 17,577.86 × 4,794.84
  4. Step 4: Simplify right side
    11,728.60x = 84,283,026.24
  5. Step 5: Solve for x
    x = 84,283,026.24/11,728.60
  6. Step 6: Final answer
    x = 7,186.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.