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Finding the Fourth Proportional to 8,207.60, 12,311.42 and 2,364.68

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Solution

The fourth proportional to 8,207.60, 12,311.42 and 2,364.68 is: 3,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.60 : 12,311.42 = 2,364.68 : x
  2. Step 2: Convert to fraction form
    8,207.60/12,311.42 = 2,364.68/x
  3. Step 3: Cross multiply
    8,207.60x = 12,311.42 × 2,364.68
  4. Step 4: Simplify right side
    8,207.60x = 29,112,568.65
  5. Step 5: Solve for x
    x = 29,112,568.65/8,207.60
  6. Step 6: Final answer
    x = 3,547.03

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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.