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Finding the Fourth Proportional to 7,864.46, 11,794.16 and 2,598.28

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Solution

The fourth proportional to 7,864.46, 11,794.16 and 2,598.28 is: 3,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.46 : 11,794.16 = 2,598.28 : x
  2. Step 2: Convert to fraction form
    7,864.46/11,794.16 = 2,598.28/x
  3. Step 3: Cross multiply
    7,864.46x = 11,794.16 × 2,598.28
  4. Step 4: Simplify right side
    7,864.46x = 30,644,458.08
  5. Step 5: Solve for x
    x = 30,644,458.08/7,864.46
  6. Step 6: Final answer
    x = 3,896.57

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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.