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Finding the Fourth Proportional to 7,817.80, 11,729.16 and 3,438.94

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Solution

The fourth proportional to 7,817.80, 11,729.16 and 3,438.94 is: 5,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.80 : 11,729.16 = 3,438.94 : x
  2. Step 2: Convert to fraction form
    7,817.80/11,729.16 = 3,438.94/x
  3. Step 3: Cross multiply
    7,817.80x = 11,729.16 × 3,438.94
  4. Step 4: Simplify right side
    7,817.80x = 40,335,877.49
  5. Step 5: Solve for x
    x = 40,335,877.49/7,817.80
  6. Step 6: Final answer
    x = 5,159.49

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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.