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Finding the Fourth Proportional to 11,538.42, 17,310.06 and 3,752.70

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Solution

The fourth proportional to 11,538.42, 17,310.06 and 3,752.70 is: 5,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.42 : 17,310.06 = 3,752.70 : x
  2. Step 2: Convert to fraction form
    11,538.42/17,310.06 = 3,752.70/x
  3. Step 3: Cross multiply
    11,538.42x = 17,310.06 × 3,752.70
  4. Step 4: Simplify right side
    11,538.42x = 64,959,462.16
  5. Step 5: Solve for x
    x = 64,959,462.16/11,538.42
  6. Step 6: Final answer
    x = 5,629.84

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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.