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Finding the Fourth Proportional to 11,104.02, 16,656 and 6,483.78

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Solution

The fourth proportional to 11,104.02, 16,656 and 6,483.78 is: 9,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,104.02 : 16,656 = 6,483.78 : x
  2. Step 2: Convert to fraction form
    11,104.02/16,656 = 6,483.78/x
  3. Step 3: Cross multiply
    11,104.02x = 16,656 × 6,483.78
  4. Step 4: Simplify right side
    11,104.02x = 107,993,839.68
  5. Step 5: Solve for x
    x = 107,993,839.68/11,104.02
  6. Step 6: Final answer
    x = 9,725.65

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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.