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Finding the Fourth Proportional to 8,457.82, 11,671.04 and 4,680.92

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Solution

The fourth proportional to 8,457.82, 11,671.04 and 4,680.92 is: 6,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.82 : 11,671.04 = 4,680.92 : x
  2. Step 2: Convert to fraction form
    8,457.82/11,671.04 = 4,680.92/x
  3. Step 3: Cross multiply
    8,457.82x = 11,671.04 × 4,680.92
  4. Step 4: Simplify right side
    8,457.82x = 54,631,245.44
  5. Step 5: Solve for x
    x = 54,631,245.44/8,457.82
  6. Step 6: Final answer
    x = 6,459.26

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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.