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Finding the Fourth Proportional to 8,454.86, 11,667.74 and 4,677.96

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Solution

The fourth proportional to 8,454.86, 11,667.74 and 4,677.96 is: 6,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.86 : 11,667.74 = 4,677.96 : x
  2. Step 2: Convert to fraction form
    8,454.86/11,667.74 = 4,677.96/x
  3. Step 3: Cross multiply
    8,454.86x = 11,667.74 × 4,677.96
  4. Step 4: Simplify right side
    8,454.86x = 54,581,221.01
  5. Step 5: Solve for x
    x = 54,581,221.01/8,454.86
  6. Step 6: Final answer
    x = 6,455.60

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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.