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Finding the Fourth Proportional to 7,907,809.20, 11,861,713.80 and 4,716,538.80

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Solution

The fourth proportional to 7,907,809.20, 11,861,713.80 and 4,716,538.80 is: 7,074,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907,809.20 : 11,861,713.80 = 4,716,538.80 : x
  2. Step 2: Convert to fraction form
    7,907,809.20/11,861,713.80 = 4,716,538.80/x
  3. Step 3: Cross multiply
    7,907,809.20x = 11,861,713.80 × 4,716,538.80
  4. Step 4: Simplify right side
    7,907,809.20x = 55,946,233,372,195.44
  5. Step 5: Solve for x
    x = 55,946,233,372,195.44/7,907,809.20
  6. Step 6: Final answer
    x = 7,074,808.20

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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.