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Finding the Fourth Proportional to 8,547.82, 12,817.26 and 3,865.59

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Solution

The fourth proportional to 8,547.82, 12,817.26 and 3,865.59 is: 5,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.82 : 12,817.26 = 3,865.59 : x
  2. Step 2: Convert to fraction form
    8,547.82/12,817.26 = 3,865.59/x
  3. Step 3: Cross multiply
    8,547.82x = 12,817.26 × 3,865.59
  4. Step 4: Simplify right side
    8,547.82x = 49,546,272.08
  5. Step 5: Solve for x
    x = 49,546,272.08/8,547.82
  6. Step 6: Final answer
    x = 5,796.37

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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.