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Finding the Fourth Proportional to 8,259.28, 12,383.16 and 3,063.76

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Solution

The fourth proportional to 8,259.28, 12,383.16 and 3,063.76 is: 4,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.28 : 12,383.16 = 3,063.76 : x
  2. Step 2: Convert to fraction form
    8,259.28/12,383.16 = 3,063.76/x
  3. Step 3: Cross multiply
    8,259.28x = 12,383.16 × 3,063.76
  4. Step 4: Simplify right side
    8,259.28x = 37,939,030.28
  5. Step 5: Solve for x
    x = 37,939,030.28/8,259.28
  6. Step 6: Final answer
    x = 4,593.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.