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Finding the Fourth Proportional to 8,053.63, 12,076.34 and 3,124.68

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Solution

The fourth proportional to 8,053.63, 12,076.34 and 3,124.68 is: 4,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.63 : 12,076.34 = 3,124.68 : x
  2. Step 2: Convert to fraction form
    8,053.63/12,076.34 = 3,124.68/x
  3. Step 3: Cross multiply
    8,053.63x = 12,076.34 × 3,124.68
  4. Step 4: Simplify right side
    8,053.63x = 37,734,654.74
  5. Step 5: Solve for x
    x = 37,734,654.74/8,053.63
  6. Step 6: Final answer
    x = 4,685.42

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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.