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Finding the Fourth Proportional to 8,457.29, 12,687.80 and 2,533.94

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Solution

The fourth proportional to 8,457.29, 12,687.80 and 2,533.94 is: 3,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.29 : 12,687.80 = 2,533.94 : x
  2. Step 2: Convert to fraction form
    8,457.29/12,687.80 = 2,533.94/x
  3. Step 3: Cross multiply
    8,457.29x = 12,687.80 × 2,533.94
  4. Step 4: Simplify right side
    8,457.29x = 32,150,070.00
  5. Step 5: Solve for x
    x = 32,150,070.00/8,457.29
  6. Step 6: Final answer
    x = 3,801.46

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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.