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Finding the Fourth Proportional to 10,857.28, 14,975.12 and 8,310.76

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Solution

The fourth proportional to 10,857.28, 14,975.12 and 8,310.76 is: 11,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.28 : 14,975.12 = 8,310.76 : x
  2. Step 2: Convert to fraction form
    10,857.28/14,975.12 = 8,310.76/x
  3. Step 3: Cross multiply
    10,857.28x = 14,975.12 × 8,310.76
  4. Step 4: Simplify right side
    10,857.28x = 124,454,628.29
  5. Step 5: Solve for x
    x = 124,454,628.29/10,857.28
  6. Step 6: Final answer
    x = 11,462.78

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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.