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Finding the Fourth Proportional to 11,446.04, 17,165.34 and 3,653

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Solution

The fourth proportional to 11,446.04, 17,165.34 and 3,653 is: 5,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.04 : 17,165.34 = 3,653 : x
  2. Step 2: Convert to fraction form
    11,446.04/17,165.34 = 3,653/x
  3. Step 3: Cross multiply
    11,446.04x = 17,165.34 × 3,653
  4. Step 4: Simplify right side
    11,446.04x = 62,704,987.02
  5. Step 5: Solve for x
    x = 62,704,987.02/11,446.04
  6. Step 6: Final answer
    x = 5,478.31

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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.