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Finding the Fourth Proportional to 11,513.75, 15,887.84 and 6,477.84

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Solution

The fourth proportional to 11,513.75, 15,887.84 and 6,477.84 is: 8,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.75 : 15,887.84 = 6,477.84 : x
  2. Step 2: Convert to fraction form
    11,513.75/15,887.84 = 6,477.84/x
  3. Step 3: Cross multiply
    11,513.75x = 15,887.84 × 6,477.84
  4. Step 4: Simplify right side
    11,513.75x = 102,918,853.08
  5. Step 5: Solve for x
    x = 102,918,853.08/11,513.75
  6. Step 6: Final answer
    x = 8,938.78

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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.