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Finding the Fourth Proportional to 8,167.10, 12,254.70 and 4,659.80

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Solution

The fourth proportional to 8,167.10, 12,254.70 and 4,659.80 is: 6,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.10 : 12,254.70 = 4,659.80 : x
  2. Step 2: Convert to fraction form
    8,167.10/12,254.70 = 4,659.80/x
  3. Step 3: Cross multiply
    8,167.10x = 12,254.70 × 4,659.80
  4. Step 4: Simplify right side
    8,167.10x = 57,104,451.06
  5. Step 5: Solve for x
    x = 57,104,451.06/8,167.10
  6. Step 6: Final answer
    x = 6,992.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.