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Finding the Fourth Proportional to 7,864.05, 11,795.46 and 2,598.54

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Solution

The fourth proportional to 7,864.05, 11,795.46 and 2,598.54 is: 3,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.05 : 11,795.46 = 2,598.54 : x
  2. Step 2: Convert to fraction form
    7,864.05/11,795.46 = 2,598.54/x
  3. Step 3: Cross multiply
    7,864.05x = 11,795.46 × 2,598.54
  4. Step 4: Simplify right side
    7,864.05x = 30,650,974.63
  5. Step 5: Solve for x
    x = 30,650,974.63/7,864.05
  6. Step 6: Final answer
    x = 3,897.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.