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Finding the Fourth Proportional to 11,533.60, 17,302.80 and 4,961.44

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Solution

The fourth proportional to 11,533.60, 17,302.80 and 4,961.44 is: 7,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.60 : 17,302.80 = 4,961.44 : x
  2. Step 2: Convert to fraction form
    11,533.60/17,302.80 = 4,961.44/x
  3. Step 3: Cross multiply
    11,533.60x = 17,302.80 × 4,961.44
  4. Step 4: Simplify right side
    11,533.60x = 85,846,804.03
  5. Step 5: Solve for x
    x = 85,846,804.03/11,533.60
  6. Step 6: Final answer
    x = 7,443.19

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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.