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Finding the Fourth Proportional to 8,191.31, 12,275.21 and 4,674.02

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Solution

The fourth proportional to 8,191.31, 12,275.21 and 4,674.02 is: 7,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.31 : 12,275.21 = 4,674.02 : x
  2. Step 2: Convert to fraction form
    8,191.31/12,275.21 = 4,674.02/x
  3. Step 3: Cross multiply
    8,191.31x = 12,275.21 × 4,674.02
  4. Step 4: Simplify right side
    8,191.31x = 57,374,527.35
  5. Step 5: Solve for x
    x = 57,374,527.35/8,191.31
  6. Step 6: Final answer
    x = 7,004.32

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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.