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Finding the Fourth Proportional to 7,453.88, 11,182.54 and 2,188.67

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Solution

The fourth proportional to 7,453.88, 11,182.54 and 2,188.67 is: 3,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.88 : 11,182.54 = 2,188.67 : x
  2. Step 2: Convert to fraction form
    7,453.88/11,182.54 = 2,188.67/x
  3. Step 3: Cross multiply
    7,453.88x = 11,182.54 × 2,188.67
  4. Step 4: Simplify right side
    7,453.88x = 24,474,889.82
  5. Step 5: Solve for x
    x = 24,474,889.82/7,453.88
  6. Step 6: Final answer
    x = 3,283.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.