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Finding the Fourth Proportional to 11,456.40, 17,155.42 and 7,548.96

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Solution

The fourth proportional to 11,456.40, 17,155.42 and 7,548.96 is: 11,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.40 : 17,155.42 = 7,548.96 : x
  2. Step 2: Convert to fraction form
    11,456.40/17,155.42 = 7,548.96/x
  3. Step 3: Cross multiply
    11,456.40x = 17,155.42 × 7,548.96
  4. Step 4: Simplify right side
    11,456.40x = 129,505,579.36
  5. Step 5: Solve for x
    x = 129,505,579.36/11,456.40
  6. Step 6: Final answer
    x = 11,304.21

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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.