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Finding the Fourth Proportional to 8,344.10, 11,514.20 and 4,807.59

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Solution

The fourth proportional to 8,344.10, 11,514.20 and 4,807.59 is: 6,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.10 : 11,514.20 = 4,807.59 : x
  2. Step 2: Convert to fraction form
    8,344.10/11,514.20 = 4,807.59/x
  3. Step 3: Cross multiply
    8,344.10x = 11,514.20 × 4,807.59
  4. Step 4: Simplify right side
    8,344.10x = 55,355,528.74
  5. Step 5: Solve for x
    x = 55,355,528.74/8,344.10
  6. Step 6: Final answer
    x = 6,634.10

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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.