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Finding the Fourth Proportional to 11,685.57, 16,115.13 and 7,699.74

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Solution

The fourth proportional to 11,685.57, 16,115.13 and 7,699.74 is: 10,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.57 : 16,115.13 = 7,699.74 : x
  2. Step 2: Convert to fraction form
    11,685.57/16,115.13 = 7,699.74/x
  3. Step 3: Cross multiply
    11,685.57x = 16,115.13 × 7,699.74
  4. Step 4: Simplify right side
    11,685.57x = 124,082,311.07
  5. Step 5: Solve for x
    x = 124,082,311.07/11,685.57
  6. Step 6: Final answer
    x = 10,618.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.