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Finding the Fourth Proportional to 8,660.34, 11,944.32 and 5,826.78

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Solution

The fourth proportional to 8,660.34, 11,944.32 and 5,826.78 is: 8,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,660.34 : 11,944.32 = 5,826.78 : x
  2. Step 2: Convert to fraction form
    8,660.34/11,944.32 = 5,826.78/x
  3. Step 3: Cross multiply
    8,660.34x = 11,944.32 × 5,826.78
  4. Step 4: Simplify right side
    8,660.34x = 69,596,924.89
  5. Step 5: Solve for x
    x = 69,596,924.89/8,660.34
  6. Step 6: Final answer
    x = 8,036.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.