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Finding the Fourth Proportional to 10,667.94, 14,723.25 and 7,693.62

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Solution

The fourth proportional to 10,667.94, 14,723.25 and 7,693.62 is: 10,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.94 : 14,723.25 = 7,693.62 : x
  2. Step 2: Convert to fraction form
    10,667.94/14,723.25 = 7,693.62/x
  3. Step 3: Cross multiply
    10,667.94x = 14,723.25 × 7,693.62
  4. Step 4: Simplify right side
    10,667.94x = 113,275,090.67
  5. Step 5: Solve for x
    x = 113,275,090.67/10,667.94
  6. Step 6: Final answer
    x = 10,618.27

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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.