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Finding the Fourth Proportional to 10,716.54, 14,783.88 and 6,940.96

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Solution

The fourth proportional to 10,716.54, 14,783.88 and 6,940.96 is: 9,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.54 : 14,783.88 = 6,940.96 : x
  2. Step 2: Convert to fraction form
    10,716.54/14,783.88 = 6,940.96/x
  3. Step 3: Cross multiply
    10,716.54x = 14,783.88 × 6,940.96
  4. Step 4: Simplify right side
    10,716.54x = 102,614,308.79
  5. Step 5: Solve for x
    x = 102,614,308.79/10,716.54
  6. Step 6: Final answer
    x = 9,575.32

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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.