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Finding the Fourth Proportional to 7,699.95, 11,549.89 and 3,016.65

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Solution

The fourth proportional to 7,699.95, 11,549.89 and 3,016.65 is: 4,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.95 : 11,549.89 = 3,016.65 : x
  2. Step 2: Convert to fraction form
    7,699.95/11,549.89 = 3,016.65/x
  3. Step 3: Cross multiply
    7,699.95x = 11,549.89 × 3,016.65
  4. Step 4: Simplify right side
    7,699.95x = 34,841,982.98
  5. Step 5: Solve for x
    x = 34,841,982.98/7,699.95
  6. Step 6: Final answer
    x = 4,524.96

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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.