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Finding the Fourth Proportional to 10,077.65, 13,906.54 and 5,601.25

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Solution

The fourth proportional to 10,077.65, 13,906.54 and 5,601.25 is: 7,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.65 : 13,906.54 = 5,601.25 : x
  2. Step 2: Convert to fraction form
    10,077.65/13,906.54 = 5,601.25/x
  3. Step 3: Cross multiply
    10,077.65x = 13,906.54 × 5,601.25
  4. Step 4: Simplify right side
    10,077.65x = 77,893,909.64
  5. Step 5: Solve for x
    x = 77,893,909.64/10,077.65
  6. Step 6: Final answer
    x = 7,729.38

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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.