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Finding the Fourth Proportional to 11,841.19, 17,761.88 and 4,050

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Solution

The fourth proportional to 11,841.19, 17,761.88 and 4,050 is: 6,075.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.19 : 17,761.88 = 4,050 : x
  2. Step 2: Convert to fraction form
    11,841.19/17,761.88 = 4,050/x
  3. Step 3: Cross multiply
    11,841.19x = 17,761.88 × 4,050
  4. Step 4: Simplify right side
    11,841.19x = 71,935,624.13
  5. Step 5: Solve for x
    x = 71,935,624.13/11,841.19
  6. Step 6: Final answer
    x = 6,075.03

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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.