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Finding the Fourth Proportional to 11,544.96, 17,304 and 7,387.20

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Solution

The fourth proportional to 11,544.96, 17,304 and 7,387.20 is: 11,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.96 : 17,304 = 7,387.20 : x
  2. Step 2: Convert to fraction form
    11,544.96/17,304 = 7,387.20/x
  3. Step 3: Cross multiply
    11,544.96x = 17,304 × 7,387.20
  4. Step 4: Simplify right side
    11,544.96x = 127,828,108.80
  5. Step 5: Solve for x
    x = 127,828,108.80/11,544.96
  6. Step 6: Final answer
    x = 11,072.20

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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.