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Finding the Fourth Proportional to 10,013.63, 13,820.02 and 5,821.88

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Solution

The fourth proportional to 10,013.63, 13,820.02 and 5,821.88 is: 8,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.63 : 13,820.02 = 5,821.88 : x
  2. Step 2: Convert to fraction form
    10,013.63/13,820.02 = 5,821.88/x
  3. Step 3: Cross multiply
    10,013.63x = 13,820.02 × 5,821.88
  4. Step 4: Simplify right side
    10,013.63x = 80,458,414.38
  5. Step 5: Solve for x
    x = 80,458,414.38/10,013.63
  6. Step 6: Final answer
    x = 8,034.89

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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.