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Finding the Fourth Proportional to 8,457.81, 12,686.34 and 2,614.38

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Solution

The fourth proportional to 8,457.81, 12,686.34 and 2,614.38 is: 3,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.81 : 12,686.34 = 2,614.38 : x
  2. Step 2: Convert to fraction form
    8,457.81/12,686.34 = 2,614.38/x
  3. Step 3: Cross multiply
    8,457.81x = 12,686.34 × 2,614.38
  4. Step 4: Simplify right side
    8,457.81x = 33,166,913.57
  5. Step 5: Solve for x
    x = 33,166,913.57/8,457.81
  6. Step 6: Final answer
    x = 3,921.45

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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.