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Finding the Fourth Proportional to 11,026, 16,539.60 and 3,235.60

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Solution

The fourth proportional to 11,026, 16,539.60 and 3,235.60 is: 4,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026 : 16,539.60 = 3,235.60 : x
  2. Step 2: Convert to fraction form
    11,026/16,539.60 = 3,235.60/x
  3. Step 3: Cross multiply
    11,026x = 16,539.60 × 3,235.60
  4. Step 4: Simplify right side
    11,026x = 53,515,529.76
  5. Step 5: Solve for x
    x = 53,515,529.76/11,026
  6. Step 6: Final answer
    x = 4,853.58

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Why These Related Problems?

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