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Finding the Fourth Proportional to 8,405.37, 12,607.25 and 2,562.03

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Solution

The fourth proportional to 8,405.37, 12,607.25 and 2,562.03 is: 3,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.37 : 12,607.25 = 2,562.03 : x
  2. Step 2: Convert to fraction form
    8,405.37/12,607.25 = 2,562.03/x
  3. Step 3: Cross multiply
    8,405.37x = 12,607.25 × 2,562.03
  4. Step 4: Simplify right side
    8,405.37x = 32,300,139.91
  5. Step 5: Solve for x
    x = 32,300,139.91/8,405.37
  6. Step 6: Final answer
    x = 3,842.80

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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.