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Finding the Fourth Proportional to 8,431.84, 12,645.56 and 2,507.13

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Solution

The fourth proportional to 8,431.84, 12,645.56 and 2,507.13 is: 3,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.84 : 12,645.56 = 2,507.13 : x
  2. Step 2: Convert to fraction form
    8,431.84/12,645.56 = 2,507.13/x
  3. Step 3: Cross multiply
    8,431.84x = 12,645.56 × 2,507.13
  4. Step 4: Simplify right side
    8,431.84x = 31,704,060.37
  5. Step 5: Solve for x
    x = 31,704,060.37/8,431.84
  6. Step 6: Final answer
    x = 3,760.04

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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.