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Finding the Fourth Proportional to 11,897.20, 16,426.16 and 10,634.21

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Solution

The fourth proportional to 11,897.20, 16,426.16 and 10,634.21 is: 14,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.20 : 16,426.16 = 10,634.21 : x
  2. Step 2: Convert to fraction form
    11,897.20/16,426.16 = 10,634.21/x
  3. Step 3: Cross multiply
    11,897.20x = 16,426.16 × 10,634.21
  4. Step 4: Simplify right side
    11,897.20x = 174,679,181.76
  5. Step 5: Solve for x
    x = 174,679,181.76/11,897.20
  6. Step 6: Final answer
    x = 14,682.38

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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.