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Finding the Fourth Proportional to 10,741.41, 16,097.13 and 5,800.41

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Solution

The fourth proportional to 10,741.41, 16,097.13 and 5,800.41 is: 8,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,741.41 : 16,097.13 = 5,800.41 : x
  2. Step 2: Convert to fraction form
    10,741.41/16,097.13 = 5,800.41/x
  3. Step 3: Cross multiply
    10,741.41x = 16,097.13 × 5,800.41
  4. Step 4: Simplify right side
    10,741.41x = 93,369,953.82
  5. Step 5: Solve for x
    x = 93,369,953.82/10,741.41
  6. Step 6: Final answer
    x = 8,692.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.