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Finding the Fourth Proportional to 8,316.28, 11,471.43 and 4,956.85

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Solution

The fourth proportional to 8,316.28, 11,471.43 and 4,956.85 is: 6,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.28 : 11,471.43 = 4,956.85 : x
  2. Step 2: Convert to fraction form
    8,316.28/11,471.43 = 4,956.85/x
  3. Step 3: Cross multiply
    8,316.28x = 11,471.43 × 4,956.85
  4. Step 4: Simplify right side
    8,316.28x = 56,862,157.80
  5. Step 5: Solve for x
    x = 56,862,157.80/8,316.28
  6. Step 6: Final answer
    x = 6,837.45

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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.