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Finding the Fourth Proportional to 10,816.75, 14,927.12 and 6,101.20

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Solution

The fourth proportional to 10,816.75, 14,927.12 and 6,101.20 is: 8,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.75 : 14,927.12 = 6,101.20 : x
  2. Step 2: Convert to fraction form
    10,816.75/14,927.12 = 6,101.20/x
  3. Step 3: Cross multiply
    10,816.75x = 14,927.12 × 6,101.20
  4. Step 4: Simplify right side
    10,816.75x = 91,073,344.54
  5. Step 5: Solve for x
    x = 91,073,344.54/10,816.75
  6. Step 6: Final answer
    x = 8,419.66

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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.