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Finding the Fourth Proportional to 8,310.87, 12,457.40 and 4,142.66

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Solution

The fourth proportional to 8,310.87, 12,457.40 and 4,142.66 is: 6,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.87 : 12,457.40 = 4,142.66 : x
  2. Step 2: Convert to fraction form
    8,310.87/12,457.40 = 4,142.66/x
  3. Step 3: Cross multiply
    8,310.87x = 12,457.40 × 4,142.66
  4. Step 4: Simplify right side
    8,310.87x = 51,606,689.68
  5. Step 5: Solve for x
    x = 51,606,689.68/8,310.87
  6. Step 6: Final answer
    x = 6,209.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.