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Finding the Fourth Proportional to 10,076.06, 13,909.92 and 7,728.68

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Solution

The fourth proportional to 10,076.06, 13,909.92 and 7,728.68 is: 10,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.06 : 13,909.92 = 7,728.68 : x
  2. Step 2: Convert to fraction form
    10,076.06/13,909.92 = 7,728.68/x
  3. Step 3: Cross multiply
    10,076.06x = 13,909.92 × 7,728.68
  4. Step 4: Simplify right side
    10,076.06x = 107,505,320.51
  5. Step 5: Solve for x
    x = 107,505,320.51/10,076.06
  6. Step 6: Final answer
    x = 10,669.38

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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.