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Finding the Fourth Proportional to 7,581.75, 10,462.88 and 4,438.01

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Solution

The fourth proportional to 7,581.75, 10,462.88 and 4,438.01 is: 6,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.75 : 10,462.88 = 4,438.01 : x
  2. Step 2: Convert to fraction form
    7,581.75/10,462.88 = 4,438.01/x
  3. Step 3: Cross multiply
    7,581.75x = 10,462.88 × 4,438.01
  4. Step 4: Simplify right side
    7,581.75x = 46,434,324.85
  5. Step 5: Solve for x
    x = 46,434,324.85/7,581.75
  6. Step 6: Final answer
    x = 6,124.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.