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Finding the Fourth Proportional to 7,856.80, 11,785.38 and 2,013.40

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Solution

The fourth proportional to 7,856.80, 11,785.38 and 2,013.40 is: 3,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.80 : 11,785.38 = 2,013.40 : x
  2. Step 2: Convert to fraction form
    7,856.80/11,785.38 = 2,013.40/x
  3. Step 3: Cross multiply
    7,856.80x = 11,785.38 × 2,013.40
  4. Step 4: Simplify right side
    7,856.80x = 23,728,684.09
  5. Step 5: Solve for x
    x = 23,728,684.09/7,856.80
  6. Step 6: Final answer
    x = 3,020.15

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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.