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Finding the Fourth Proportional to 11,592.12, 17,409.64 and 6,049.28

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Solution

The fourth proportional to 11,592.12, 17,409.64 and 6,049.28 is: 9,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.12 : 17,409.64 = 6,049.28 : x
  2. Step 2: Convert to fraction form
    11,592.12/17,409.64 = 6,049.28/x
  3. Step 3: Cross multiply
    11,592.12x = 17,409.64 × 6,049.28
  4. Step 4: Simplify right side
    11,592.12x = 105,315,787.06
  5. Step 5: Solve for x
    x = 105,315,787.06/11,592.12
  6. Step 6: Final answer
    x = 9,085.12

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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.