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Finding the Fourth Proportional to 8,530.14, 12,797.19 and 2,686.59

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Solution

The fourth proportional to 8,530.14, 12,797.19 and 2,686.59 is: 4,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.14 : 12,797.19 = 2,686.59 : x
  2. Step 2: Convert to fraction form
    8,530.14/12,797.19 = 2,686.59/x
  3. Step 3: Cross multiply
    8,530.14x = 12,797.19 × 2,686.59
  4. Step 4: Simplify right side
    8,530.14x = 34,380,802.68
  5. Step 5: Solve for x
    x = 34,380,802.68/8,530.14
  6. Step 6: Final answer
    x = 4,030.51

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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.