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Finding the Fourth Proportional to 8,856.68, 13,284.14 and 3,013.20

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Solution

The fourth proportional to 8,856.68, 13,284.14 and 3,013.20 is: 4,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,856.68 : 13,284.14 = 3,013.20 : x
  2. Step 2: Convert to fraction form
    8,856.68/13,284.14 = 3,013.20/x
  3. Step 3: Cross multiply
    8,856.68x = 13,284.14 × 3,013.20
  4. Step 4: Simplify right side
    8,856.68x = 40,027,755.58
  5. Step 5: Solve for x
    x = 40,027,755.58/8,856.68
  6. Step 6: Final answer
    x = 4,519.50

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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.