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Finding the Fourth Proportional to 8,167.24, 12,244.38 and 3,547

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Solution

The fourth proportional to 8,167.24, 12,244.38 and 3,547 is: 5,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.24 : 12,244.38 = 3,547 : x
  2. Step 2: Convert to fraction form
    8,167.24/12,244.38 = 3,547/x
  3. Step 3: Cross multiply
    8,167.24x = 12,244.38 × 3,547
  4. Step 4: Simplify right side
    8,167.24x = 43,430,815.86
  5. Step 5: Solve for x
    x = 43,430,815.86/8,167.24
  6. Step 6: Final answer
    x = 5,317.69

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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.