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Finding the Fourth Proportional to 8,309.21, 11,466.82 and 4,953.96

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Solution

The fourth proportional to 8,309.21, 11,466.82 and 4,953.96 is: 6,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.21 : 11,466.82 = 4,953.96 : x
  2. Step 2: Convert to fraction form
    8,309.21/11,466.82 = 4,953.96/x
  3. Step 3: Cross multiply
    8,309.21x = 11,466.82 × 4,953.96
  4. Step 4: Simplify right side
    8,309.21x = 56,806,085.50
  5. Step 5: Solve for x
    x = 56,806,085.50/8,309.21
  6. Step 6: Final answer
    x = 6,836.52

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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.