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Finding the Fourth Proportional to 8,364.26, 12,547.02 and 2,817.62

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Solution

The fourth proportional to 8,364.26, 12,547.02 and 2,817.62 is: 4,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.26 : 12,547.02 = 2,817.62 : x
  2. Step 2: Convert to fraction form
    8,364.26/12,547.02 = 2,817.62/x
  3. Step 3: Cross multiply
    8,364.26x = 12,547.02 × 2,817.62
  4. Step 4: Simplify right side
    8,364.26x = 35,352,734.49
  5. Step 5: Solve for x
    x = 35,352,734.49/8,364.26
  6. Step 6: Final answer
    x = 4,226.64

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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.