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Finding the Fourth Proportional to 10,427.00, 14,387.02 and 6,179.39

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Solution

The fourth proportional to 10,427.00, 14,387.02 and 6,179.39 is: 8,526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.00 : 14,387.02 = 6,179.39 : x
  2. Step 2: Convert to fraction form
    10,427.00/14,387.02 = 6,179.39/x
  3. Step 3: Cross multiply
    10,427.00x = 14,387.02 × 6,179.39
  4. Step 4: Simplify right side
    10,427.00x = 88,902,974.09
  5. Step 5: Solve for x
    x = 88,902,974.09/10,427.00
  6. Step 6: Final answer
    x = 8,526.23

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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.