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Finding the Fourth Proportional to 11,908.55, 16,421 and 10,040.71

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Solution

The fourth proportional to 11,908.55, 16,421 and 10,040.71 is: 13,845.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.55 : 16,421 = 10,040.71 : x
  2. Step 2: Convert to fraction form
    11,908.55/16,421 = 10,040.71/x
  3. Step 3: Cross multiply
    11,908.55x = 16,421 × 10,040.71
  4. Step 4: Simplify right side
    11,908.55x = 164,878,498.91
  5. Step 5: Solve for x
    x = 164,878,498.91/11,908.55
  6. Step 6: Final answer
    x = 13,845.39

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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.