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Finding the Fourth Proportional to 8,457.19, 12,686.99 and 2,614.25

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Solution

The fourth proportional to 8,457.19, 12,686.99 and 2,614.25 is: 3,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.19 : 12,686.99 = 2,614.25 : x
  2. Step 2: Convert to fraction form
    8,457.19/12,686.99 = 2,614.25/x
  3. Step 3: Cross multiply
    8,457.19x = 12,686.99 × 2,614.25
  4. Step 4: Simplify right side
    8,457.19x = 33,166,970.14
  5. Step 5: Solve for x
    x = 33,166,970.14/8,457.19
  6. Step 6: Final answer
    x = 3,921.75

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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.