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Finding the Fourth Proportional to 7,855.62, 11,785.45 and 2,309.14

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Solution

The fourth proportional to 7,855.62, 11,785.45 and 2,309.14 is: 3,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.62 : 11,785.45 = 2,309.14 : x
  2. Step 2: Convert to fraction form
    7,855.62/11,785.45 = 2,309.14/x
  3. Step 3: Cross multiply
    7,855.62x = 11,785.45 × 2,309.14
  4. Step 4: Simplify right side
    7,855.62x = 27,214,254.01
  5. Step 5: Solve for x
    x = 27,214,254.01/7,855.62
  6. Step 6: Final answer
    x = 3,464.31

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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.