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Finding the Fourth Proportional to 7,699.37, 11,549.23 and 2,505.65

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Solution

The fourth proportional to 7,699.37, 11,549.23 and 2,505.65 is: 3,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.37 : 11,549.23 = 2,505.65 : x
  2. Step 2: Convert to fraction form
    7,699.37/11,549.23 = 2,505.65/x
  3. Step 3: Cross multiply
    7,699.37x = 11,549.23 × 2,505.65
  4. Step 4: Simplify right side
    7,699.37x = 28,938,264.14
  5. Step 5: Solve for x
    x = 28,938,264.14/7,699.37
  6. Step 6: Final answer
    x = 3,758.53

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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.