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Finding the Fourth Proportional to 11,405.12, 17,109.28 and 4,827.20

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Solution

The fourth proportional to 11,405.12, 17,109.28 and 4,827.20 is: 7,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.12 : 17,109.28 = 4,827.20 : x
  2. Step 2: Convert to fraction form
    11,405.12/17,109.28 = 4,827.20/x
  3. Step 3: Cross multiply
    11,405.12x = 17,109.28 × 4,827.20
  4. Step 4: Simplify right side
    11,405.12x = 82,589,916.42
  5. Step 5: Solve for x
    x = 82,589,916.42/11,405.12
  6. Step 6: Final answer
    x = 7,241.48

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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.