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Finding the Fourth Proportional to 11,907.83, 16,429.03 and 6,871.39

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Solution

The fourth proportional to 11,907.83, 16,429.03 and 6,871.39 is: 9,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.83 : 16,429.03 = 6,871.39 : x
  2. Step 2: Convert to fraction form
    11,907.83/16,429.03 = 6,871.39/x
  3. Step 3: Cross multiply
    11,907.83x = 16,429.03 × 6,871.39
  4. Step 4: Simplify right side
    11,907.83x = 112,890,260.50
  5. Step 5: Solve for x
    x = 112,890,260.50/11,907.83
  6. Step 6: Final answer
    x = 9,480.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.