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Finding the Fourth Proportional to 7,538.80, 10,403.53 and 4,182.12

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Solution

The fourth proportional to 7,538.80, 10,403.53 and 4,182.12 is: 5,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.80 : 10,403.53 = 4,182.12 : x
  2. Step 2: Convert to fraction form
    7,538.80/10,403.53 = 4,182.12/x
  3. Step 3: Cross multiply
    7,538.80x = 10,403.53 × 4,182.12
  4. Step 4: Simplify right side
    7,538.80x = 43,508,789.97
  5. Step 5: Solve for x
    x = 43,508,789.97/7,538.80
  6. Step 6: Final answer
    x = 5,771.32

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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.