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Finding the Fourth Proportional to 10,013.40, 14,976.90 and 8,458.20

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Solution

The fourth proportional to 10,013.40, 14,976.90 and 8,458.20 is: 12,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.40 : 14,976.90 = 8,458.20 : x
  2. Step 2: Convert to fraction form
    10,013.40/14,976.90 = 8,458.20/x
  3. Step 3: Cross multiply
    10,013.40x = 14,976.90 × 8,458.20
  4. Step 4: Simplify right side
    10,013.40x = 126,677,615.58
  5. Step 5: Solve for x
    x = 126,677,615.58/10,013.40
  6. Step 6: Final answer
    x = 12,650.81

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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.