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Finding the Fourth Proportional to 8,191.45, 12,284.06 and 2,925.48

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Solution

The fourth proportional to 8,191.45, 12,284.06 and 2,925.48 is: 4,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.45 : 12,284.06 = 2,925.48 : x
  2. Step 2: Convert to fraction form
    8,191.45/12,284.06 = 2,925.48/x
  3. Step 3: Cross multiply
    8,191.45x = 12,284.06 × 2,925.48
  4. Step 4: Simplify right side
    8,191.45x = 35,936,764.08
  5. Step 5: Solve for x
    x = 35,936,764.08/8,191.45
  6. Step 6: Final answer
    x = 4,387.10

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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.