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Finding the Fourth Proportional to 7,826.64, 11,740.14 and 3,147.12

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Solution

The fourth proportional to 7,826.64, 11,740.14 and 3,147.12 is: 4,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.64 : 11,740.14 = 3,147.12 : x
  2. Step 2: Convert to fraction form
    7,826.64/11,740.14 = 3,147.12/x
  3. Step 3: Cross multiply
    7,826.64x = 11,740.14 × 3,147.12
  4. Step 4: Simplify right side
    7,826.64x = 36,947,629.40
  5. Step 5: Solve for x
    x = 36,947,629.40/7,826.64
  6. Step 6: Final answer
    x = 4,720.75

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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.