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Finding the Fourth Proportional to 7,794.64, 11,686.47 and 3,896.29

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Solution

The fourth proportional to 7,794.64, 11,686.47 and 3,896.29 is: 5,841.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.64 : 11,686.47 = 3,896.29 : x
  2. Step 2: Convert to fraction form
    7,794.64/11,686.47 = 3,896.29/x
  3. Step 3: Cross multiply
    7,794.64x = 11,686.47 × 3,896.29
  4. Step 4: Simplify right side
    7,794.64x = 45,533,876.20
  5. Step 5: Solve for x
    x = 45,533,876.20/7,794.64
  6. Step 6: Final answer
    x = 5,841.69

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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.