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Finding the Fourth Proportional to 8,290.92, 11,456.72 and 6,049

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Solution

The fourth proportional to 8,290.92, 11,456.72 and 6,049 is: 8,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.92 : 11,456.72 = 6,049 : x
  2. Step 2: Convert to fraction form
    8,290.92/11,456.72 = 6,049/x
  3. Step 3: Cross multiply
    8,290.92x = 11,456.72 × 6,049
  4. Step 4: Simplify right side
    8,290.92x = 69,301,699.28
  5. Step 5: Solve for x
    x = 69,301,699.28/8,290.92
  6. Step 6: Final answer
    x = 8,358.75

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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.