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Finding the Fourth Proportional to 8,457.63, 12,687.65 and 2,614.69

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Solution

The fourth proportional to 8,457.63, 12,687.65 and 2,614.69 is: 3,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.63 : 12,687.65 = 2,614.69 : x
  2. Step 2: Convert to fraction form
    8,457.63/12,687.65 = 2,614.69/x
  3. Step 3: Cross multiply
    8,457.63x = 12,687.65 × 2,614.69
  4. Step 4: Simplify right side
    8,457.63x = 33,174,271.58
  5. Step 5: Solve for x
    x = 33,174,271.58/8,457.63
  6. Step 6: Final answer
    x = 3,922.41

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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.