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Finding the Fourth Proportional to 10,884.38, 14,997.15 and 7,341.38

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Solution

The fourth proportional to 10,884.38, 14,997.15 and 7,341.38 is: 10,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.38 : 14,997.15 = 7,341.38 : x
  2. Step 2: Convert to fraction form
    10,884.38/14,997.15 = 7,341.38/x
  3. Step 3: Cross multiply
    10,884.38x = 14,997.15 × 7,341.38
  4. Step 4: Simplify right side
    10,884.38x = 110,099,777.07
  5. Step 5: Solve for x
    x = 110,099,777.07/10,884.38
  6. Step 6: Final answer
    x = 10,115.39

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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.