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Finding the Fourth Proportional to 11,700.50, 17,550.54 and 4,302.08

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Solution

The fourth proportional to 11,700.50, 17,550.54 and 4,302.08 is: 6,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.50 : 17,550.54 = 4,302.08 : x
  2. Step 2: Convert to fraction form
    11,700.50/17,550.54 = 4,302.08/x
  3. Step 3: Cross multiply
    11,700.50x = 17,550.54 × 4,302.08
  4. Step 4: Simplify right side
    11,700.50x = 75,503,827.12
  5. Step 5: Solve for x
    x = 75,503,827.12/11,700.50
  6. Step 6: Final answer
    x = 6,453.04

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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.