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Finding the Fourth Proportional to 8,405.36, 12,607.14 and 2,562.02

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Solution

The fourth proportional to 8,405.36, 12,607.14 and 2,562.02 is: 3,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.36 : 12,607.14 = 2,562.02 : x
  2. Step 2: Convert to fraction form
    8,405.36/12,607.14 = 2,562.02/x
  3. Step 3: Cross multiply
    8,405.36x = 12,607.14 × 2,562.02
  4. Step 4: Simplify right side
    8,405.36x = 32,299,744.82
  5. Step 5: Solve for x
    x = 32,299,744.82/8,405.36
  6. Step 6: Final answer
    x = 3,842.76

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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.