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Finding the Fourth Proportional to 8,285.30, 11,441.01 and 5,639.03

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Solution

The fourth proportional to 8,285.30, 11,441.01 and 5,639.03 is: 7,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.30 : 11,441.01 = 5,639.03 : x
  2. Step 2: Convert to fraction form
    8,285.30/11,441.01 = 5,639.03/x
  3. Step 3: Cross multiply
    8,285.30x = 11,441.01 × 5,639.03
  4. Step 4: Simplify right side
    8,285.30x = 64,516,141.42
  5. Step 5: Solve for x
    x = 64,516,141.42/8,285.30
  6. Step 6: Final answer
    x = 7,786.82

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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.