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Finding the Fourth Proportional to 11,472.46, 15,830.07 and 6,757.67

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Solution

The fourth proportional to 11,472.46, 15,830.07 and 6,757.67 is: 9,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.46 : 15,830.07 = 6,757.67 : x
  2. Step 2: Convert to fraction form
    11,472.46/15,830.07 = 6,757.67/x
  3. Step 3: Cross multiply
    11,472.46x = 15,830.07 × 6,757.67
  4. Step 4: Simplify right side
    11,472.46x = 106,974,389.14
  5. Step 5: Solve for x
    x = 106,974,389.14/11,472.46
  6. Step 6: Final answer
    x = 9,324.45

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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.