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Finding the Fourth Proportional to 10,079.88, 13,900.24 and 7,837.80

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Solution

The fourth proportional to 10,079.88, 13,900.24 and 7,837.80 is: 10,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.88 : 13,900.24 = 7,837.80 : x
  2. Step 2: Convert to fraction form
    10,079.88/13,900.24 = 7,837.80/x
  3. Step 3: Cross multiply
    10,079.88x = 13,900.24 × 7,837.80
  4. Step 4: Simplify right side
    10,079.88x = 108,947,301.07
  5. Step 5: Solve for x
    x = 108,947,301.07/10,079.88
  6. Step 6: Final answer
    x = 10,808.39

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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.