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Finding the Fourth Proportional to 8,540.82, 12,809.82 and 6,068.16

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Solution

The fourth proportional to 8,540.82, 12,809.82 and 6,068.16 is: 9,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.82 : 12,809.82 = 6,068.16 : x
  2. Step 2: Convert to fraction form
    8,540.82/12,809.82 = 6,068.16/x
  3. Step 3: Cross multiply
    8,540.82x = 12,809.82 × 6,068.16
  4. Step 4: Simplify right side
    8,540.82x = 77,732,037.33
  5. Step 5: Solve for x
    x = 77,732,037.33/8,540.82
  6. Step 6: Final answer
    x = 9,101.24

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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.