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Finding the Fourth Proportional to 7,884.30, 11,826.50 and 2,337.69

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Solution

The fourth proportional to 7,884.30, 11,826.50 and 2,337.69 is: 3,506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.30 : 11,826.50 = 2,337.69 : x
  2. Step 2: Convert to fraction form
    7,884.30/11,826.50 = 2,337.69/x
  3. Step 3: Cross multiply
    7,884.30x = 11,826.50 × 2,337.69
  4. Step 4: Simplify right side
    7,884.30x = 27,646,732.21
  5. Step 5: Solve for x
    x = 27,646,732.21/7,884.30
  6. Step 6: Final answer
    x = 3,506.55

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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.