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Finding the Fourth Proportional to 7,502.50, 10,353.33 and 4,145.46

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Solution

The fourth proportional to 7,502.50, 10,353.33 and 4,145.46 is: 5,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.50 : 10,353.33 = 4,145.46 : x
  2. Step 2: Convert to fraction form
    7,502.50/10,353.33 = 4,145.46/x
  3. Step 3: Cross multiply
    7,502.50x = 10,353.33 × 4,145.46
  4. Step 4: Simplify right side
    7,502.50x = 42,919,315.38
  5. Step 5: Solve for x
    x = 42,919,315.38/7,502.50
  6. Step 6: Final answer
    x = 5,720.67

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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.