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Finding the Fourth Proportional to 8,054.64, 12,078.54 and 3,123.36

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Solution

The fourth proportional to 8,054.64, 12,078.54 and 3,123.36 is: 4,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054.64 : 12,078.54 = 3,123.36 : x
  2. Step 2: Convert to fraction form
    8,054.64/12,078.54 = 3,123.36/x
  3. Step 3: Cross multiply
    8,054.64x = 12,078.54 × 3,123.36
  4. Step 4: Simplify right side
    8,054.64x = 37,725,628.69
  5. Step 5: Solve for x
    x = 37,725,628.69/8,054.64
  6. Step 6: Final answer
    x = 4,683.71

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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.