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Finding the Fourth Proportional to 10,446.35, 14,418.27 and 8,173.15

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Solution

The fourth proportional to 10,446.35, 14,418.27 and 8,173.15 is: 11,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.35 : 14,418.27 = 8,173.15 : x
  2. Step 2: Convert to fraction form
    10,446.35/14,418.27 = 8,173.15/x
  3. Step 3: Cross multiply
    10,446.35x = 14,418.27 × 8,173.15
  4. Step 4: Simplify right side
    10,446.35x = 117,842,647.40
  5. Step 5: Solve for x
    x = 117,842,647.40/10,446.35
  6. Step 6: Final answer
    x = 11,280.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.