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Finding the Fourth Proportional to 11,899.95, 16,421.72 and 6,864.39

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Solution

The fourth proportional to 11,899.95, 16,421.72 and 6,864.39 is: 9,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.95 : 16,421.72 = 6,864.39 : x
  2. Step 2: Convert to fraction form
    11,899.95/16,421.72 = 6,864.39/x
  3. Step 3: Cross multiply
    11,899.95x = 16,421.72 × 6,864.39
  4. Step 4: Simplify right side
    11,899.95x = 112,725,056.23
  5. Step 5: Solve for x
    x = 112,725,056.23/11,899.95
  6. Step 6: Final answer
    x = 9,472.73

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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.