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Finding the Fourth Proportional to 10,836.84, 16,256.04 and 3,816.12

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Solution

The fourth proportional to 10,836.84, 16,256.04 and 3,816.12 is: 5,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836.84 : 16,256.04 = 3,816.12 : x
  2. Step 2: Convert to fraction form
    10,836.84/16,256.04 = 3,816.12/x
  3. Step 3: Cross multiply
    10,836.84x = 16,256.04 × 3,816.12
  4. Step 4: Simplify right side
    10,836.84x = 62,034,999.36
  5. Step 5: Solve for x
    x = 62,034,999.36/10,836.84
  6. Step 6: Final answer
    x = 5,724.45

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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.