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Finding the Fourth Proportional to 11,907.80, 17,844.60 and 6,702.68

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Solution

The fourth proportional to 11,907.80, 17,844.60 and 6,702.68 is: 10,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.80 : 17,844.60 = 6,702.68 : x
  2. Step 2: Convert to fraction form
    11,907.80/17,844.60 = 6,702.68/x
  3. Step 3: Cross multiply
    11,907.80x = 17,844.60 × 6,702.68
  4. Step 4: Simplify right side
    11,907.80x = 119,606,643.53
  5. Step 5: Solve for x
    x = 119,606,643.53/11,907.80
  6. Step 6: Final answer
    x = 10,044.39

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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.