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Finding the Fourth Proportional to 7,169.50, 10,748.77 and 4,053.02

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Solution

The fourth proportional to 7,169.50, 10,748.77 and 4,053.02 is: 6,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.50 : 10,748.77 = 4,053.02 : x
  2. Step 2: Convert to fraction form
    7,169.50/10,748.77 = 4,053.02/x
  3. Step 3: Cross multiply
    7,169.50x = 10,748.77 × 4,053.02
  4. Step 4: Simplify right side
    7,169.50x = 43,564,979.79
  5. Step 5: Solve for x
    x = 43,564,979.79/7,169.50
  6. Step 6: Final answer
    x = 6,076.43

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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.