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Finding the Fourth Proportional to 7,090.80, 10,631.88 and 3,197.40

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Solution

The fourth proportional to 7,090.80, 10,631.88 and 3,197.40 is: 4,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.80 : 10,631.88 = 3,197.40 : x
  2. Step 2: Convert to fraction form
    7,090.80/10,631.88 = 3,197.40/x
  3. Step 3: Cross multiply
    7,090.80x = 10,631.88 × 3,197.40
  4. Step 4: Simplify right side
    7,090.80x = 33,994,373.11
  5. Step 5: Solve for x
    x = 33,994,373.11/7,090.80
  6. Step 6: Final answer
    x = 4,794.15

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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.