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Finding the Fourth Proportional to 8,056.56, 12,078.76 and 5,283.93

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Solution

The fourth proportional to 8,056.56, 12,078.76 and 5,283.93 is: 7,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.56 : 12,078.76 = 5,283.93 : x
  2. Step 2: Convert to fraction form
    8,056.56/12,078.76 = 5,283.93/x
  3. Step 3: Cross multiply
    8,056.56x = 12,078.76 × 5,283.93
  4. Step 4: Simplify right side
    8,056.56x = 63,823,309.12
  5. Step 5: Solve for x
    x = 63,823,309.12/8,056.56
  6. Step 6: Final answer
    x = 7,921.91

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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.