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Finding the Fourth Proportional to 7,685.82, 11,533.59 and 3,309.39

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Solution

The fourth proportional to 7,685.82, 11,533.59 and 3,309.39 is: 4,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.82 : 11,533.59 = 3,309.39 : x
  2. Step 2: Convert to fraction form
    7,685.82/11,533.59 = 3,309.39/x
  3. Step 3: Cross multiply
    7,685.82x = 11,533.59 × 3,309.39
  4. Step 4: Simplify right side
    7,685.82x = 38,169,147.41
  5. Step 5: Solve for x
    x = 38,169,147.41/7,685.82
  6. Step 6: Final answer
    x = 4,966.18

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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.