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Finding the Fourth Proportional to 10,647.25, 14,693.00 and 5,867.03

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Solution

The fourth proportional to 10,647.25, 14,693.00 and 5,867.03 is: 8,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.25 : 14,693.00 = 5,867.03 : x
  2. Step 2: Convert to fraction form
    10,647.25/14,693.00 = 5,867.03/x
  3. Step 3: Cross multiply
    10,647.25x = 14,693.00 × 5,867.03
  4. Step 4: Simplify right side
    10,647.25x = 86,204,279.19
  5. Step 5: Solve for x
    x = 86,204,279.19/10,647.25
  6. Step 6: Final answer
    x = 8,096.39

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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.