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Finding the Fourth Proportional to 11,757.14, 16,224.88 and 6,452

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Solution

The fourth proportional to 11,757.14, 16,224.88 and 6,452 is: 8,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.14 : 16,224.88 = 6,452 : x
  2. Step 2: Convert to fraction form
    11,757.14/16,224.88 = 6,452/x
  3. Step 3: Cross multiply
    11,757.14x = 16,224.88 × 6,452
  4. Step 4: Simplify right side
    11,757.14x = 104,682,925.76
  5. Step 5: Solve for x
    x = 104,682,925.76/11,757.14
  6. Step 6: Final answer
    x = 8,903.77

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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.