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Finding the Fourth Proportional to 11,562, 17,340.10 and 3,239.86

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Solution

The fourth proportional to 11,562, 17,340.10 and 3,239.86 is: 4,858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562 : 17,340.10 = 3,239.86 : x
  2. Step 2: Convert to fraction form
    11,562/17,340.10 = 3,239.86/x
  3. Step 3: Cross multiply
    11,562x = 17,340.10 × 3,239.86
  4. Step 4: Simplify right side
    11,562x = 56,179,496.39
  5. Step 5: Solve for x
    x = 56,179,496.39/11,562
  6. Step 6: Final answer
    x = 4,858.98

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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.