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Finding the Fourth Proportional to 12,546.84, 18,812.88 and 4,756.20

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Solution

The fourth proportional to 12,546.84, 18,812.88 and 4,756.20 is: 7,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.84 : 18,812.88 = 4,756.20 : x
  2. Step 2: Convert to fraction form
    12,546.84/18,812.88 = 4,756.20/x
  3. Step 3: Cross multiply
    12,546.84x = 18,812.88 × 4,756.20
  4. Step 4: Simplify right side
    12,546.84x = 89,477,819.86
  5. Step 5: Solve for x
    x = 89,477,819.86/12,546.84
  6. Step 6: Final answer
    x = 7,131.50

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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.