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Finding the Fourth Proportional to 8,165.68, 11,256.55 and 6,371.12

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Solution

The fourth proportional to 8,165.68, 11,256.55 and 6,371.12 is: 8,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.68 : 11,256.55 = 6,371.12 : x
  2. Step 2: Convert to fraction form
    8,165.68/11,256.55 = 6,371.12/x
  3. Step 3: Cross multiply
    8,165.68x = 11,256.55 × 6,371.12
  4. Step 4: Simplify right side
    8,165.68x = 71,716,878.89
  5. Step 5: Solve for x
    x = 71,716,878.89/8,165.68
  6. Step 6: Final answer
    x = 8,782.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.