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Finding the Fourth Proportional to 8,296.82, 11,449.60 and 4,570.82

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Solution

The fourth proportional to 8,296.82, 11,449.60 and 4,570.82 is: 6,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.82 : 11,449.60 = 4,570.82 : x
  2. Step 2: Convert to fraction form
    8,296.82/11,449.60 = 4,570.82/x
  3. Step 3: Cross multiply
    8,296.82x = 11,449.60 × 4,570.82
  4. Step 4: Simplify right side
    8,296.82x = 52,334,060.67
  5. Step 5: Solve for x
    x = 52,334,060.67/8,296.82
  6. Step 6: Final answer
    x = 6,307.73

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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.