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Finding the Fourth Proportional to 11,907.88, 17,862.54 and 3,474.64

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Solution

The fourth proportional to 11,907.88, 17,862.54 and 3,474.64 is: 5,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.88 : 17,862.54 = 3,474.64 : x
  2. Step 2: Convert to fraction form
    11,907.88/17,862.54 = 3,474.64/x
  3. Step 3: Cross multiply
    11,907.88x = 17,862.54 × 3,474.64
  4. Step 4: Simplify right side
    11,907.88x = 62,065,895.99
  5. Step 5: Solve for x
    x = 62,065,895.99/11,907.88
  6. Step 6: Final answer
    x = 5,212.17

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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.