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Finding the Fourth Proportional to 10,422.36, 15,623.82 and 3,492

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Solution

The fourth proportional to 10,422.36, 15,623.82 and 3,492 is: 5,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.36 : 15,623.82 = 3,492 : x
  2. Step 2: Convert to fraction form
    10,422.36/15,623.82 = 3,492/x
  3. Step 3: Cross multiply
    10,422.36x = 15,623.82 × 3,492
  4. Step 4: Simplify right side
    10,422.36x = 54,558,379.44
  5. Step 5: Solve for x
    x = 54,558,379.44/10,422.36
  6. Step 6: Final answer
    x = 5,234.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.