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Finding the Fourth Proportional to 8,090.42, 12,135.11 and 4,760.50

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Solution

The fourth proportional to 8,090.42, 12,135.11 and 4,760.50 is: 7,140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.42 : 12,135.11 = 4,760.50 : x
  2. Step 2: Convert to fraction form
    8,090.42/12,135.11 = 4,760.50/x
  3. Step 3: Cross multiply
    8,090.42x = 12,135.11 × 4,760.50
  4. Step 4: Simplify right side
    8,090.42x = 57,769,191.16
  5. Step 5: Solve for x
    x = 57,769,191.16/8,090.42
  6. Step 6: Final answer
    x = 7,140.44

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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.