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Finding the Fourth Proportional to 7,502.75, 10,353.89 and 4,145.50

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Solution

The fourth proportional to 7,502.75, 10,353.89 and 4,145.50 is: 5,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.75 : 10,353.89 = 4,145.50 : x
  2. Step 2: Convert to fraction form
    7,502.75/10,353.89 = 4,145.50/x
  3. Step 3: Cross multiply
    7,502.75x = 10,353.89 × 4,145.50
  4. Step 4: Simplify right side
    7,502.75x = 42,922,004.38
  5. Step 5: Solve for x
    x = 42,922,004.38/7,502.75
  6. Step 6: Final answer
    x = 5,720.83

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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.