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Finding the Fourth Proportional to 10,325.47, 14,249.86 and 5,849.26

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Solution

The fourth proportional to 10,325.47, 14,249.86 and 5,849.26 is: 8,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.47 : 14,249.86 = 5,849.26 : x
  2. Step 2: Convert to fraction form
    10,325.47/14,249.86 = 5,849.26/x
  3. Step 3: Cross multiply
    10,325.47x = 14,249.86 × 5,849.26
  4. Step 4: Simplify right side
    10,325.47x = 83,351,114.17
  5. Step 5: Solve for x
    x = 83,351,114.17/10,325.47
  6. Step 6: Final answer
    x = 8,072.38

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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.