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Finding the Fourth Proportional to 11,505, 17,257.82 and 3,714.60

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Solution

The fourth proportional to 11,505, 17,257.82 and 3,714.60 is: 5,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505 : 17,257.82 = 3,714.60 : x
  2. Step 2: Convert to fraction form
    11,505/17,257.82 = 3,714.60/x
  3. Step 3: Cross multiply
    11,505x = 17,257.82 × 3,714.60
  4. Step 4: Simplify right side
    11,505x = 64,105,898.17
  5. Step 5: Solve for x
    x = 64,105,898.17/11,505
  6. Step 6: Final answer
    x = 5,572.00

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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.