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Finding the Fourth Proportional to 11,549.05, 17,323.84 and 3,758.47

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Solution

The fourth proportional to 11,549.05, 17,323.84 and 3,758.47 is: 5,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.05 : 17,323.84 = 3,758.47 : x
  2. Step 2: Convert to fraction form
    11,549.05/17,323.84 = 3,758.47/x
  3. Step 3: Cross multiply
    11,549.05x = 17,323.84 × 3,758.47
  4. Step 4: Simplify right side
    11,549.05x = 65,111,094.31
  5. Step 5: Solve for x
    x = 65,111,094.31/11,549.05
  6. Step 6: Final answer
    x = 5,637.79

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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.