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Finding the Fourth Proportional to 11,620.90, 16,031.64 and 7,842.91

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Solution

The fourth proportional to 11,620.90, 16,031.64 and 7,842.91 is: 10,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.90 : 16,031.64 = 7,842.91 : x
  2. Step 2: Convert to fraction form
    11,620.90/16,031.64 = 7,842.91/x
  3. Step 3: Cross multiply
    11,620.90x = 16,031.64 × 7,842.91
  4. Step 4: Simplify right side
    11,620.90x = 125,734,709.67
  5. Step 5: Solve for x
    x = 125,734,709.67/11,620.90
  6. Step 6: Final answer
    x = 10,819.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.