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Finding the Fourth Proportional to 10,855, 14,979.92 and 5,887

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Solution

The fourth proportional to 10,855, 14,979.92 and 5,887 is: 8,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855 : 14,979.92 = 5,887 : x
  2. Step 2: Convert to fraction form
    10,855/14,979.92 = 5,887/x
  3. Step 3: Cross multiply
    10,855x = 14,979.92 × 5,887
  4. Step 4: Simplify right side
    10,855x = 88,186,789.04
  5. Step 5: Solve for x
    x = 88,186,789.04/10,855
  6. Step 6: Final answer
    x = 8,124.07

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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.