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Finding the Fourth Proportional to 7,527.43, 10,388.03 and 5,635.67

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Solution

The fourth proportional to 7,527.43, 10,388.03 and 5,635.67 is: 7,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.43 : 10,388.03 = 5,635.67 : x
  2. Step 2: Convert to fraction form
    7,527.43/10,388.03 = 5,635.67/x
  3. Step 3: Cross multiply
    7,527.43x = 10,388.03 × 5,635.67
  4. Step 4: Simplify right side
    7,527.43x = 58,543,509.03
  5. Step 5: Solve for x
    x = 58,543,509.03/7,527.43
  6. Step 6: Final answer
    x = 7,777.36

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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.