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Finding the Fourth Proportional to 11,431.34, 15,771.75 and 7,451

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Solution

The fourth proportional to 11,431.34, 15,771.75 and 7,451 is: 10,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.34 : 15,771.75 = 7,451 : x
  2. Step 2: Convert to fraction form
    11,431.34/15,771.75 = 7,451/x
  3. Step 3: Cross multiply
    11,431.34x = 15,771.75 × 7,451
  4. Step 4: Simplify right side
    11,431.34x = 117,515,309.25
  5. Step 5: Solve for x
    x = 117,515,309.25/11,431.34
  6. Step 6: Final answer
    x = 10,280.10

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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.