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Finding the Fourth Proportional to 10,029.68, 13,841.65 and 5,553.62

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Solution

The fourth proportional to 10,029.68, 13,841.65 and 5,553.62 is: 7,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.68 : 13,841.65 = 5,553.62 : x
  2. Step 2: Convert to fraction form
    10,029.68/13,841.65 = 5,553.62/x
  3. Step 3: Cross multiply
    10,029.68x = 13,841.65 × 5,553.62
  4. Step 4: Simplify right side
    10,029.68x = 76,871,264.27
  5. Step 5: Solve for x
    x = 76,871,264.27/10,029.68
  6. Step 6: Final answer
    x = 7,664.38

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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.