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Finding the Fourth Proportional to 8,298.27, 11,450.12 and 4,761.63

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Solution

The fourth proportional to 8,298.27, 11,450.12 and 4,761.63 is: 6,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.27 : 11,450.12 = 4,761.63 : x
  2. Step 2: Convert to fraction form
    8,298.27/11,450.12 = 4,761.63/x
  3. Step 3: Cross multiply
    8,298.27x = 11,450.12 × 4,761.63
  4. Step 4: Simplify right side
    8,298.27x = 54,521,211.09
  5. Step 5: Solve for x
    x = 54,521,211.09/8,298.27
  6. Step 6: Final answer
    x = 6,570.19

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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.