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Finding the Fourth Proportional to 8,530.28, 12,797.29 and 2,607.66

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Solution

The fourth proportional to 8,530.28, 12,797.29 and 2,607.66 is: 3,912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.28 : 12,797.29 = 2,607.66 : x
  2. Step 2: Convert to fraction form
    8,530.28/12,797.29 = 2,607.66/x
  3. Step 3: Cross multiply
    8,530.28x = 12,797.29 × 2,607.66
  4. Step 4: Simplify right side
    8,530.28x = 33,370,984.50
  5. Step 5: Solve for x
    x = 33,370,984.50/8,530.28
  6. Step 6: Final answer
    x = 3,912.06

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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.