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Finding the Fourth Proportional to 8,476.08, 12,716.88 and 4,094.04

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Solution

The fourth proportional to 8,476.08, 12,716.88 and 4,094.04 is: 6,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.08 : 12,716.88 = 4,094.04 : x
  2. Step 2: Convert to fraction form
    8,476.08/12,716.88 = 4,094.04/x
  3. Step 3: Cross multiply
    8,476.08x = 12,716.88 × 4,094.04
  4. Step 4: Simplify right side
    8,476.08x = 52,063,415.40
  5. Step 5: Solve for x
    x = 52,063,415.40/8,476.08
  6. Step 6: Final answer
    x = 6,142.39

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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.