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Finding the Fourth Proportional to 7,325.98, 10,988.12 and 2,131.86

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Solution

The fourth proportional to 7,325.98, 10,988.12 and 2,131.86 is: 3,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,325.98 : 10,988.12 = 2,131.86 : x
  2. Step 2: Convert to fraction form
    7,325.98/10,988.12 = 2,131.86/x
  3. Step 3: Cross multiply
    7,325.98x = 10,988.12 × 2,131.86
  4. Step 4: Simplify right side
    7,325.98x = 23,425,133.50
  5. Step 5: Solve for x
    x = 23,425,133.50/7,325.98
  6. Step 6: Final answer
    x = 3,197.54

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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.