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Finding the Fourth Proportional to 7,729.39, 10,666.41 and 4,372.09

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Solution

The fourth proportional to 7,729.39, 10,666.41 and 4,372.09 is: 6,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.39 : 10,666.41 = 4,372.09 : x
  2. Step 2: Convert to fraction form
    7,729.39/10,666.41 = 4,372.09/x
  3. Step 3: Cross multiply
    7,729.39x = 10,666.41 × 4,372.09
  4. Step 4: Simplify right side
    7,729.39x = 46,634,504.50
  5. Step 5: Solve for x
    x = 46,634,504.50/7,729.39
  6. Step 6: Final answer
    x = 6,033.40

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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.