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Finding the Fourth Proportional to 7,699.05, 11,545.20 and 3,537.68

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Solution

The fourth proportional to 7,699.05, 11,545.20 and 3,537.68 is: 5,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.05 : 11,545.20 = 3,537.68 : x
  2. Step 2: Convert to fraction form
    7,699.05/11,545.20 = 3,537.68/x
  3. Step 3: Cross multiply
    7,699.05x = 11,545.20 × 3,537.68
  4. Step 4: Simplify right side
    7,699.05x = 40,843,165.41
  5. Step 5: Solve for x
    x = 40,843,165.41/7,699.05
  6. Step 6: Final answer
    x = 5,304.96

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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.