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Finding the Fourth Proportional to 8,124.14, 12,187.73 and 2,576

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Solution

The fourth proportional to 8,124.14, 12,187.73 and 2,576 is: 3,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.14 : 12,187.73 = 2,576 : x
  2. Step 2: Convert to fraction form
    8,124.14/12,187.73 = 2,576/x
  3. Step 3: Cross multiply
    8,124.14x = 12,187.73 × 2,576
  4. Step 4: Simplify right side
    8,124.14x = 31,395,592.48
  5. Step 5: Solve for x
    x = 31,395,592.48/8,124.14
  6. Step 6: Final answer
    x = 3,864.48

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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.