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Finding the Fourth Proportional to 8,454.82, 11,667.39 and 4,677.76

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Solution

The fourth proportional to 8,454.82, 11,667.39 and 4,677.76 is: 6,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.82 : 11,667.39 = 4,677.76 : x
  2. Step 2: Convert to fraction form
    8,454.82/11,667.39 = 4,677.76/x
  3. Step 3: Cross multiply
    8,454.82x = 11,667.39 × 4,677.76
  4. Step 4: Simplify right side
    8,454.82x = 54,577,250.25
  5. Step 5: Solve for x
    x = 54,577,250.25/8,454.82
  6. Step 6: Final answer
    x = 6,455.16

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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.