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Finding the Fourth Proportional to 10,818.80, 14,930.18 and 6,103.08

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Solution

The fourth proportional to 10,818.80, 14,930.18 and 6,103.08 is: 8,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.80 : 14,930.18 = 6,103.08 : x
  2. Step 2: Convert to fraction form
    10,818.80/14,930.18 = 6,103.08/x
  3. Step 3: Cross multiply
    10,818.80x = 14,930.18 × 6,103.08
  4. Step 4: Simplify right side
    10,818.80x = 91,120,052.44
  5. Step 5: Solve for x
    x = 91,120,052.44/10,818.80
  6. Step 6: Final answer
    x = 8,422.38

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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.