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Finding the Fourth Proportional to 12,364.52, 18,546.96 and 4,972.40

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Solution

The fourth proportional to 12,364.52, 18,546.96 and 4,972.40 is: 7,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.52 : 18,546.96 = 4,972.40 : x
  2. Step 2: Convert to fraction form
    12,364.52/18,546.96 = 4,972.40/x
  3. Step 3: Cross multiply
    12,364.52x = 18,546.96 × 4,972.40
  4. Step 4: Simplify right side
    12,364.52x = 92,222,903.90
  5. Step 5: Solve for x
    x = 92,222,903.90/12,364.52
  6. Step 6: Final answer
    x = 7,458.67

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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.