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Finding the Fourth Proportional to 7,902.56, 11,854.15 and 2,059.22

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Solution

The fourth proportional to 7,902.56, 11,854.15 and 2,059.22 is: 3,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.56 : 11,854.15 = 2,059.22 : x
  2. Step 2: Convert to fraction form
    7,902.56/11,854.15 = 2,059.22/x
  3. Step 3: Cross multiply
    7,902.56x = 11,854.15 × 2,059.22
  4. Step 4: Simplify right side
    7,902.56x = 24,410,327.25
  5. Step 5: Solve for x
    x = 24,410,327.25/7,902.56
  6. Step 6: Final answer
    x = 3,088.91

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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.