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Finding the Fourth Proportional to 11,548.96, 17,328.24 and 6,354.40

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Solution

The fourth proportional to 11,548.96, 17,328.24 and 6,354.40 is: 9,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.96 : 17,328.24 = 6,354.40 : x
  2. Step 2: Convert to fraction form
    11,548.96/17,328.24 = 6,354.40/x
  3. Step 3: Cross multiply
    11,548.96x = 17,328.24 × 6,354.40
  4. Step 4: Simplify right side
    11,548.96x = 110,110,568.26
  5. Step 5: Solve for x
    x = 110,110,568.26/11,548.96
  6. Step 6: Final answer
    x = 9,534.24

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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.