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Finding the Fourth Proportional to 8,214.68, 12,325.62 and 4,318.20

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Solution

The fourth proportional to 8,214.68, 12,325.62 and 4,318.20 is: 6,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.68 : 12,325.62 = 4,318.20 : x
  2. Step 2: Convert to fraction form
    8,214.68/12,325.62 = 4,318.20/x
  3. Step 3: Cross multiply
    8,214.68x = 12,325.62 × 4,318.20
  4. Step 4: Simplify right side
    8,214.68x = 53,224,492.28
  5. Step 5: Solve for x
    x = 53,224,492.28/8,214.68
  6. Step 6: Final answer
    x = 6,479.19

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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.