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Finding the Fourth Proportional to 10,367.44, 14,406.46 and 10,260.88

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Solution

The fourth proportional to 10,367.44, 14,406.46 and 10,260.88 is: 14,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.44 : 14,406.46 = 10,260.88 : x
  2. Step 2: Convert to fraction form
    10,367.44/14,406.46 = 10,260.88/x
  3. Step 3: Cross multiply
    10,367.44x = 14,406.46 × 10,260.88
  4. Step 4: Simplify right side
    10,367.44x = 147,822,957.28
  5. Step 5: Solve for x
    x = 147,822,957.28/10,367.44
  6. Step 6: Final answer
    x = 14,258.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.