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Finding the Fourth Proportional to 8,062.41, 12,090.50 and 3,131.40

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Solution

The fourth proportional to 8,062.41, 12,090.50 and 3,131.40 is: 4,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062.41 : 12,090.50 = 3,131.40 : x
  2. Step 2: Convert to fraction form
    8,062.41/12,090.50 = 3,131.40/x
  3. Step 3: Cross multiply
    8,062.41x = 12,090.50 × 3,131.40
  4. Step 4: Simplify right side
    8,062.41x = 37,860,158.10
  5. Step 5: Solve for x
    x = 37,860,158.10/8,062.41
  6. Step 6: Final answer
    x = 4,695.89

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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.