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Finding the Fourth Proportional to 11,915.36, 17,867.35 and 6,986.50

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Solution

The fourth proportional to 11,915.36, 17,867.35 and 6,986.50 is: 10,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.36 : 17,867.35 = 6,986.50 : x
  2. Step 2: Convert to fraction form
    11,915.36/17,867.35 = 6,986.50/x
  3. Step 3: Cross multiply
    11,915.36x = 17,867.35 × 6,986.50
  4. Step 4: Simplify right side
    11,915.36x = 124,830,240.78
  5. Step 5: Solve for x
    x = 124,830,240.78/11,915.36
  6. Step 6: Final answer
    x = 10,476.41

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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.