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Finding the Fourth Proportional to 8,451.94, 11,656.82 and 6,459.34

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Solution

The fourth proportional to 8,451.94, 11,656.82 and 6,459.34 is: 8,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.94 : 11,656.82 = 6,459.34 : x
  2. Step 2: Convert to fraction form
    8,451.94/11,656.82 = 6,459.34/x
  3. Step 3: Cross multiply
    8,451.94x = 11,656.82 × 6,459.34
  4. Step 4: Simplify right side
    8,451.94x = 75,295,363.70
  5. Step 5: Solve for x
    x = 75,295,363.70/8,451.94
  6. Step 6: Final answer
    x = 8,908.65

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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.