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Finding the Fourth Proportional to 8,528.29, 11,765.73 and 5,340.30

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Solution

The fourth proportional to 8,528.29, 11,765.73 and 5,340.30 is: 7,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.29 : 11,765.73 = 5,340.30 : x
  2. Step 2: Convert to fraction form
    8,528.29/11,765.73 = 5,340.30/x
  3. Step 3: Cross multiply
    8,528.29x = 11,765.73 × 5,340.30
  4. Step 4: Simplify right side
    8,528.29x = 62,832,527.92
  5. Step 5: Solve for x
    x = 62,832,527.92/8,528.29
  6. Step 6: Final answer
    x = 7,367.54

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Why These Related Problems?

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