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Finding the Fourth Proportional to 11,492.82, 17,235.63 and 7,617.78

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Solution

The fourth proportional to 11,492.82, 17,235.63 and 7,617.78 is: 11,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.82 : 17,235.63 = 7,617.78 : x
  2. Step 2: Convert to fraction form
    11,492.82/17,235.63 = 7,617.78/x
  3. Step 3: Cross multiply
    11,492.82x = 17,235.63 × 7,617.78
  4. Step 4: Simplify right side
    11,492.82x = 131,297,237.50
  5. Step 5: Solve for x
    x = 131,297,237.50/11,492.82
  6. Step 6: Final answer
    x = 11,424.28

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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.