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Finding the Fourth Proportional to 8,564.56, 11,811.61 and 6,579.25

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Solution

The fourth proportional to 8,564.56, 11,811.61 and 6,579.25 is: 9,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.56 : 11,811.61 = 6,579.25 : x
  2. Step 2: Convert to fraction form
    8,564.56/11,811.61 = 6,579.25/x
  3. Step 3: Cross multiply
    8,564.56x = 11,811.61 × 6,579.25
  4. Step 4: Simplify right side
    8,564.56x = 77,711,535.09
  5. Step 5: Solve for x
    x = 77,711,535.09/8,564.56
  6. Step 6: Final answer
    x = 9,073.62

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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.