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Finding the Fourth Proportional to 8,652.82, 11,928.45 and 6,164.50

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Solution

The fourth proportional to 8,652.82, 11,928.45 and 6,164.50 is: 8,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.82 : 11,928.45 = 6,164.50 : x
  2. Step 2: Convert to fraction form
    8,652.82/11,928.45 = 6,164.50/x
  3. Step 3: Cross multiply
    8,652.82x = 11,928.45 × 6,164.50
  4. Step 4: Simplify right side
    8,652.82x = 73,532,930.03
  5. Step 5: Solve for x
    x = 73,532,930.03/8,652.82
  6. Step 6: Final answer
    x = 8,498.15

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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.