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Finding the Fourth Proportional to 8,298.15, 11,466 and 6,633.27

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Solution

The fourth proportional to 8,298.15, 11,466 and 6,633.27 is: 9,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.15 : 11,466 = 6,633.27 : x
  2. Step 2: Convert to fraction form
    8,298.15/11,466 = 6,633.27/x
  3. Step 3: Cross multiply
    8,298.15x = 11,466 × 6,633.27
  4. Step 4: Simplify right side
    8,298.15x = 76,057,073.82
  5. Step 5: Solve for x
    x = 76,057,073.82/8,298.15
  6. Step 6: Final answer
    x = 9,165.55

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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.