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Finding the Fourth Proportional to 11,264.76, 16,891.08 and 7,984.26

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Solution

The fourth proportional to 11,264.76, 16,891.08 and 7,984.26 is: 11,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.76 : 16,891.08 = 7,984.26 : x
  2. Step 2: Convert to fraction form
    11,264.76/16,891.08 = 7,984.26/x
  3. Step 3: Cross multiply
    11,264.76x = 16,891.08 × 7,984.26
  4. Step 4: Simplify right side
    11,264.76x = 134,862,774.40
  5. Step 5: Solve for x
    x = 134,862,774.40/11,264.76
  6. Step 6: Final answer
    x = 11,972.09

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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.