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Finding the Fourth Proportional to 11,492.44, 17,222.71 and 5,237.17

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Solution

The fourth proportional to 11,492.44, 17,222.71 and 5,237.17 is: 7,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.44 : 17,222.71 = 5,237.17 : x
  2. Step 2: Convert to fraction form
    11,492.44/17,222.71 = 5,237.17/x
  3. Step 3: Cross multiply
    11,492.44x = 17,222.71 × 5,237.17
  4. Step 4: Simplify right side
    11,492.44x = 90,198,260.13
  5. Step 5: Solve for x
    x = 90,198,260.13/11,492.44
  6. Step 6: Final answer
    x = 7,848.49

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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.