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Finding the Fourth Proportional to 10,693.81, 14,766.91 and 6,667.51

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Solution

The fourth proportional to 10,693.81, 14,766.91 and 6,667.51 is: 9,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.81 : 14,766.91 = 6,667.51 : x
  2. Step 2: Convert to fraction form
    10,693.81/14,766.91 = 6,667.51/x
  3. Step 3: Cross multiply
    10,693.81x = 14,766.91 × 6,667.51
  4. Step 4: Simplify right side
    10,693.81x = 98,458,466.51
  5. Step 5: Solve for x
    x = 98,458,466.51/10,693.81
  6. Step 6: Final answer
    x = 9,207.05

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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.