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Finding the Fourth Proportional to 10,100.93, 13,939.28 and 5,852.81

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Solution

The fourth proportional to 10,100.93, 13,939.28 and 5,852.81 is: 8,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.93 : 13,939.28 = 5,852.81 : x
  2. Step 2: Convert to fraction form
    10,100.93/13,939.28 = 5,852.81/x
  3. Step 3: Cross multiply
    10,100.93x = 13,939.28 × 5,852.81
  4. Step 4: Simplify right side
    10,100.93x = 81,583,957.38
  5. Step 5: Solve for x
    x = 81,583,957.38/10,100.93
  6. Step 6: Final answer
    x = 8,076.88

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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.