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Finding the Fourth Proportional to 11,685.35, 16,121.16 and 7,435.28

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Solution

The fourth proportional to 11,685.35, 16,121.16 and 7,435.28 is: 10,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.35 : 16,121.16 = 7,435.28 : x
  2. Step 2: Convert to fraction form
    11,685.35/16,121.16 = 7,435.28/x
  3. Step 3: Cross multiply
    11,685.35x = 16,121.16 × 7,435.28
  4. Step 4: Simplify right side
    11,685.35x = 119,865,378.83
  5. Step 5: Solve for x
    x = 119,865,378.83/11,685.35
  6. Step 6: Final answer
    x = 10,257.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.