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Finding the Fourth Proportional to 7,185.19, 10,774.13 and 3,286.25

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Solution

The fourth proportional to 7,185.19, 10,774.13 and 3,286.25 is: 4,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.19 : 10,774.13 = 3,286.25 : x
  2. Step 2: Convert to fraction form
    7,185.19/10,774.13 = 3,286.25/x
  3. Step 3: Cross multiply
    7,185.19x = 10,774.13 × 3,286.25
  4. Step 4: Simplify right side
    7,185.19x = 35,406,468.28
  5. Step 5: Solve for x
    x = 35,406,468.28/7,185.19
  6. Step 6: Final answer
    x = 4,927.70

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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.