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Finding the Fourth Proportional to 10,873.64, 16,310.97 and 4,948.09

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Solution

The fourth proportional to 10,873.64, 16,310.97 and 4,948.09 is: 7,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.64 : 16,310.97 = 4,948.09 : x
  2. Step 2: Convert to fraction form
    10,873.64/16,310.97 = 4,948.09/x
  3. Step 3: Cross multiply
    10,873.64x = 16,310.97 × 4,948.09
  4. Step 4: Simplify right side
    10,873.64x = 80,708,106.77
  5. Step 5: Solve for x
    x = 80,708,106.77/10,873.64
  6. Step 6: Final answer
    x = 7,422.36

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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.