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Finding the Fourth Proportional to 11,046.04, 16,568.52 and 4,120

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Solution

The fourth proportional to 11,046.04, 16,568.52 and 4,120 is: 6,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.04 : 16,568.52 = 4,120 : x
  2. Step 2: Convert to fraction form
    11,046.04/16,568.52 = 4,120/x
  3. Step 3: Cross multiply
    11,046.04x = 16,568.52 × 4,120
  4. Step 4: Simplify right side
    11,046.04x = 68,262,302.40
  5. Step 5: Solve for x
    x = 68,262,302.40/11,046.04
  6. Step 6: Final answer
    x = 6,179.80

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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.