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Finding the Fourth Proportional to 8,147.17, 11,233.24 and 6,886

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Solution

The fourth proportional to 8,147.17, 11,233.24 and 6,886 is: 9,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.17 : 11,233.24 = 6,886 : x
  2. Step 2: Convert to fraction form
    8,147.17/11,233.24 = 6,886/x
  3. Step 3: Cross multiply
    8,147.17x = 11,233.24 × 6,886
  4. Step 4: Simplify right side
    8,147.17x = 77,352,090.64
  5. Step 5: Solve for x
    x = 77,352,090.64/8,147.17
  6. Step 6: Final answer
    x = 9,494.35

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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.