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Finding the Fourth Proportional to 11,405.36, 17,076.48 and 5,846.72

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Solution

The fourth proportional to 11,405.36, 17,076.48 and 5,846.72 is: 8,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.36 : 17,076.48 = 5,846.72 : x
  2. Step 2: Convert to fraction form
    11,405.36/17,076.48 = 5,846.72/x
  3. Step 3: Cross multiply
    11,405.36x = 17,076.48 × 5,846.72
  4. Step 4: Simplify right side
    11,405.36x = 99,841,397.15
  5. Step 5: Solve for x
    x = 99,841,397.15/11,405.36
  6. Step 6: Final answer
    x = 8,753.90

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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.