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Finding the Fourth Proportional to 8,314.64, 11,475.63 and 7,940.96

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Solution

The fourth proportional to 8,314.64, 11,475.63 and 7,940.96 is: 10,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.64 : 11,475.63 = 7,940.96 : x
  2. Step 2: Convert to fraction form
    8,314.64/11,475.63 = 7,940.96/x
  3. Step 3: Cross multiply
    8,314.64x = 11,475.63 × 7,940.96
  4. Step 4: Simplify right side
    8,314.64x = 91,127,518.80
  5. Step 5: Solve for x
    x = 91,127,518.80/8,314.64
  6. Step 6: Final answer
    x = 10,959.89

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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.