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Finding the Fourth Proportional to 8,667.96, 11,961.77 and 4,689.06

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Solution

The fourth proportional to 8,667.96, 11,961.77 and 4,689.06 is: 6,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.96 : 11,961.77 = 4,689.06 : x
  2. Step 2: Convert to fraction form
    8,667.96/11,961.77 = 4,689.06/x
  3. Step 3: Cross multiply
    8,667.96x = 11,961.77 × 4,689.06
  4. Step 4: Simplify right side
    8,667.96x = 56,089,457.24
  5. Step 5: Solve for x
    x = 56,089,457.24/8,667.96
  6. Step 6: Final answer
    x = 6,470.89

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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.