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Finding the Fourth Proportional to 11,766.75, 16,241.76 and 7,575

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Solution

The fourth proportional to 11,766.75, 16,241.76 and 7,575 is: 10,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.75 : 16,241.76 = 7,575 : x
  2. Step 2: Convert to fraction form
    11,766.75/16,241.76 = 7,575/x
  3. Step 3: Cross multiply
    11,766.75x = 16,241.76 × 7,575
  4. Step 4: Simplify right side
    11,766.75x = 123,031,332
  5. Step 5: Solve for x
    x = 123,031,332/11,766.75
  6. Step 6: Final answer
    x = 10,455.85

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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.