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Finding the Fourth Proportional to 7,730.45, 11,597.22 and 3,288.09

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Solution

The fourth proportional to 7,730.45, 11,597.22 and 3,288.09 is: 4,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.45 : 11,597.22 = 3,288.09 : x
  2. Step 2: Convert to fraction form
    7,730.45/11,597.22 = 3,288.09/x
  3. Step 3: Cross multiply
    7,730.45x = 11,597.22 × 3,288.09
  4. Step 4: Simplify right side
    7,730.45x = 38,132,703.11
  5. Step 5: Solve for x
    x = 38,132,703.11/7,730.45
  6. Step 6: Final answer
    x = 4,932.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.