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Finding the Fourth Proportional to 8,415.38, 11,612.42 and 4,878.80

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Solution

The fourth proportional to 8,415.38, 11,612.42 and 4,878.80 is: 6,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.38 : 11,612.42 = 4,878.80 : x
  2. Step 2: Convert to fraction form
    8,415.38/11,612.42 = 4,878.80/x
  3. Step 3: Cross multiply
    8,415.38x = 11,612.42 × 4,878.80
  4. Step 4: Simplify right side
    8,415.38x = 56,654,674.70
  5. Step 5: Solve for x
    x = 56,654,674.70/8,415.38
  6. Step 6: Final answer
    x = 6,732.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.