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Finding the Fourth Proportional to 11,549.84, 17,322.96 and 3,758.60

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Solution

The fourth proportional to 11,549.84, 17,322.96 and 3,758.60 is: 5,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.84 : 17,322.96 = 3,758.60 : x
  2. Step 2: Convert to fraction form
    11,549.84/17,322.96 = 3,758.60/x
  3. Step 3: Cross multiply
    11,549.84x = 17,322.96 × 3,758.60
  4. Step 4: Simplify right side
    11,549.84x = 65,110,077.46
  5. Step 5: Solve for x
    x = 65,110,077.46/11,549.84
  6. Step 6: Final answer
    x = 5,637.31

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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.