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Finding the Fourth Proportional to 11,474.16, 17,209.80 and 4,549.20

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Solution

The fourth proportional to 11,474.16, 17,209.80 and 4,549.20 is: 6,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.16 : 17,209.80 = 4,549.20 : x
  2. Step 2: Convert to fraction form
    11,474.16/17,209.80 = 4,549.20/x
  3. Step 3: Cross multiply
    11,474.16x = 17,209.80 × 4,549.20
  4. Step 4: Simplify right side
    11,474.16x = 78,290,822.16
  5. Step 5: Solve for x
    x = 78,290,822.16/11,474.16
  6. Step 6: Final answer
    x = 6,823.23

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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.